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Finding the Fourth Proportional to 55,931.60, 83,897.40 and 20,869.40

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Solution

The fourth proportional to 55,931.60, 83,897.40 and 20,869.40 is: 31,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,931.60 : 83,897.40 = 20,869.40 : x
  2. Step 2: Convert to fraction form
    55,931.60/83,897.40 = 20,869.40/x
  3. Step 3: Cross multiply
    55,931.60x = 83,897.40 × 20,869.40
  4. Step 4: Simplify right side
    55,931.60x = 1,750,888,399.56
  5. Step 5: Solve for x
    x = 1,750,888,399.56/55,931.60
  6. Step 6: Final answer
    x = 31,304.10

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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.