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Finding the Fourth Proportional to 102,557.81, 153,854.77 and 35,073.98

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Solution

The fourth proportional to 102,557.81, 153,854.77 and 35,073.98 is: 52,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,557.81 : 153,854.77 = 35,073.98 : x
  2. Step 2: Convert to fraction form
    102,557.81/153,854.77 = 35,073.98/x
  3. Step 3: Cross multiply
    102,557.81x = 153,854.77 × 35,073.98
  4. Step 4: Simplify right side
    102,557.81x = 5,396,299,125.88
  5. Step 5: Solve for x
    x = 5,396,299,125.88/102,557.81
  6. Step 6: Final answer
    x = 52,617.14

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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.