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Finding the Fourth Proportional to 42,952.96, 64,414 and 14,865.39

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Solution

The fourth proportional to 42,952.96, 64,414 and 14,865.39 is: 22,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,952.96 : 64,414 = 14,865.39 : x
  2. Step 2: Convert to fraction form
    42,952.96/64,414 = 14,865.39/x
  3. Step 3: Cross multiply
    42,952.96x = 64,414 × 14,865.39
  4. Step 4: Simplify right side
    42,952.96x = 957,539,231.46
  5. Step 5: Solve for x
    x = 957,539,231.46/42,952.96
  6. Step 6: Final answer
    x = 22,292.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.