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Finding the Fourth Proportional to 48,193.60, 72,376.80 and 46,638.40

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Solution

The fourth proportional to 48,193.60, 72,376.80 and 46,638.40 is: 70,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,193.60 : 72,376.80 = 46,638.40 : x
  2. Step 2: Convert to fraction form
    48,193.60/72,376.80 = 46,638.40/x
  3. Step 3: Cross multiply
    48,193.60x = 72,376.80 × 46,638.40
  4. Step 4: Simplify right side
    48,193.60x = 3,375,538,149.12
  5. Step 5: Solve for x
    x = 3,375,538,149.12/48,193.60
  6. Step 6: Final answer
    x = 70,041.21

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Why These Related Problems?

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