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Finding the Fourth Proportional to 57,582, 86,335.88 and 24,293.16

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Solution

The fourth proportional to 57,582, 86,335.88 and 24,293.16 is: 36,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582 : 86,335.88 = 24,293.16 : x
  2. Step 2: Convert to fraction form
    57,582/86,335.88 = 24,293.16/x
  3. Step 3: Cross multiply
    57,582x = 86,335.88 × 24,293.16
  4. Step 4: Simplify right side
    57,582x = 2,097,371,346.58
  5. Step 5: Solve for x
    x = 2,097,371,346.58/57,582
  6. Step 6: Final answer
    x = 36,424.08

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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.