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Finding the Fourth Proportional to 42,717.69, 58,946.04 and 24,816.48

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Solution

The fourth proportional to 42,717.69, 58,946.04 and 24,816.48 is: 34,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,717.69 : 58,946.04 = 24,816.48 : x
  2. Step 2: Convert to fraction form
    42,717.69/58,946.04 = 24,816.48/x
  3. Step 3: Cross multiply
    42,717.69x = 58,946.04 × 24,816.48
  4. Step 4: Simplify right side
    42,717.69x = 1,462,833,222.74
  5. Step 5: Solve for x
    x = 1,462,833,222.74/42,717.69
  6. Step 6: Final answer
    x = 34,244.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.