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Finding the Fourth Proportional to 42,528, 58,688.64 and 24,864

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Solution

The fourth proportional to 42,528, 58,688.64 and 24,864 is: 34,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,528 : 58,688.64 = 24,864 : x
  2. Step 2: Convert to fraction form
    42,528/58,688.64 = 24,864/x
  3. Step 3: Cross multiply
    42,528x = 58,688.64 × 24,864
  4. Step 4: Simplify right side
    42,528x = 1,459,234,344.96
  5. Step 5: Solve for x
    x = 1,459,234,344.96/42,528
  6. Step 6: Final answer
    x = 34,312.32

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