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Finding the Fourth Proportional to 49,681, 74,506.92 and 14,612.32

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Solution

The fourth proportional to 49,681, 74,506.92 and 14,612.32 is: 21,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,681 : 74,506.92 = 14,612.32 : x
  2. Step 2: Convert to fraction form
    49,681/74,506.92 = 14,612.32/x
  3. Step 3: Cross multiply
    49,681x = 74,506.92 × 14,612.32
  4. Step 4: Simplify right side
    49,681x = 1,088,718,957.25
  5. Step 5: Solve for x
    x = 1,088,718,957.25/49,681
  6. Step 6: Final answer
    x = 21,914.19

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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.