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Finding the Fourth Proportional to 32,712, 49,068.16 and 8,088

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Solution

The fourth proportional to 32,712, 49,068.16 and 8,088 is: 12,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712 : 49,068.16 = 8,088 : x
  2. Step 2: Convert to fraction form
    32,712/49,068.16 = 8,088/x
  3. Step 3: Cross multiply
    32,712x = 49,068.16 × 8,088
  4. Step 4: Simplify right side
    32,712x = 396,863,278.08
  5. Step 5: Solve for x
    x = 396,863,278.08/32,712
  6. Step 6: Final answer
    x = 12,132.04

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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.