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Finding the Fourth Proportional to 55,281.60, 83,008.80 and 31,953.60

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Solution

The fourth proportional to 55,281.60, 83,008.80 and 31,953.60 is: 47,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,281.60 : 83,008.80 = 31,953.60 : x
  2. Step 2: Convert to fraction form
    55,281.60/83,008.80 = 31,953.60/x
  3. Step 3: Cross multiply
    55,281.60x = 83,008.80 × 31,953.60
  4. Step 4: Simplify right side
    55,281.60x = 2,652,429,991.68
  5. Step 5: Solve for x
    x = 2,652,429,991.68/55,281.60
  6. Step 6: Final answer
    x = 47,980.34

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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.