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Finding the Fourth Proportional to 48,663.78, 72,966.16 and 23,678.65

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Solution

The fourth proportional to 48,663.78, 72,966.16 and 23,678.65 is: 35,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,663.78 : 72,966.16 = 23,678.65 : x
  2. Step 2: Convert to fraction form
    48,663.78/72,966.16 = 23,678.65/x
  3. Step 3: Cross multiply
    48,663.78x = 72,966.16 × 23,678.65
  4. Step 4: Simplify right side
    48,663.78x = 1,727,740,164.48
  5. Step 5: Solve for x
    x = 1,727,740,164.48/48,663.78
  6. Step 6: Final answer
    x = 35,503.62

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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.