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Finding the Fourth Proportional to 40,769.61, 61,160.09 and 14,468.10

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Solution

The fourth proportional to 40,769.61, 61,160.09 and 14,468.10 is: 21,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,769.61 : 61,160.09 = 14,468.10 : x
  2. Step 2: Convert to fraction form
    40,769.61/61,160.09 = 14,468.10/x
  3. Step 3: Cross multiply
    40,769.61x = 61,160.09 × 14,468.10
  4. Step 4: Simplify right side
    40,769.61x = 884,870,225.79
  5. Step 5: Solve for x
    x = 884,870,225.79/40,769.61
  6. Step 6: Final answer
    x = 21,704.16

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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.