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Finding the Fourth Proportional to 55,729.71, 83,599.56 and 15,749.19

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Solution

The fourth proportional to 55,729.71, 83,599.56 and 15,749.19 is: 23,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,729.71 : 83,599.56 = 15,749.19 : x
  2. Step 2: Convert to fraction form
    55,729.71/83,599.56 = 15,749.19/x
  3. Step 3: Cross multiply
    55,729.71x = 83,599.56 × 15,749.19
  4. Step 4: Simplify right side
    55,729.71x = 1,316,625,354.36
  5. Step 5: Solve for x
    x = 1,316,625,354.36/55,729.71
  6. Step 6: Final answer
    x = 23,625.20

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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.