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Finding the Fourth Proportional to 103,573.68, 142,951.29 and 64,829.46

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Solution

The fourth proportional to 103,573.68, 142,951.29 and 64,829.46 is: 89,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,573.68 : 142,951.29 = 64,829.46 : x
  2. Step 2: Convert to fraction form
    103,573.68/142,951.29 = 64,829.46/x
  3. Step 3: Cross multiply
    103,573.68x = 142,951.29 × 64,829.46
  4. Step 4: Simplify right side
    103,573.68x = 9,267,455,229.96
  5. Step 5: Solve for x
    x = 9,267,455,229.96/103,573.68
  6. Step 6: Final answer
    x = 89,476.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.