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Finding the Fourth Proportional to 32,597,409.60, 48,878,399.70 and 13,430,104.20

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Solution

The fourth proportional to 32,597,409.60, 48,878,399.70 and 13,430,104.20 is: 20,137,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597,409.60 : 48,878,399.70 = 13,430,104.20 : x
  2. Step 2: Convert to fraction form
    32,597,409.60/48,878,399.70 = 13,430,104.20/x
  3. Step 3: Cross multiply
    32,597,409.60x = 48,878,399.70 × 13,430,104.20
  4. Step 4: Simplify right side
    32,597,409.60x = 656,442,001,100,248.75
  5. Step 5: Solve for x
    x = 656,442,001,100,248.75/32,597,409.60
  6. Step 6: Final answer
    x = 20,137,857.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.