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Finding the Fourth Proportional to 57,030.96, 85,570.32 and 25,419.24

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Solution

The fourth proportional to 57,030.96, 85,570.32 and 25,419.24 is: 38,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,030.96 : 85,570.32 = 25,419.24 : x
  2. Step 2: Convert to fraction form
    57,030.96/85,570.32 = 25,419.24/x
  3. Step 3: Cross multiply
    57,030.96x = 85,570.32 × 25,419.24
  4. Step 4: Simplify right side
    57,030.96x = 2,175,132,500.96
  5. Step 5: Solve for x
    x = 2,175,132,500.96/57,030.96
  6. Step 6: Final answer
    x = 38,139.50

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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.