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Finding the Fourth Proportional to 78,148.48, 117,225.92 and 22,744.48

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Solution

The fourth proportional to 78,148.48, 117,225.92 and 22,744.48 is: 34,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,148.48 : 117,225.92 = 22,744.48 : x
  2. Step 2: Convert to fraction form
    78,148.48/117,225.92 = 22,744.48/x
  3. Step 3: Cross multiply
    78,148.48x = 117,225.92 × 22,744.48
  4. Step 4: Simplify right side
    78,148.48x = 2,666,242,592.92
  5. Step 5: Solve for x
    x = 2,666,242,592.92/78,148.48
  6. Step 6: Final answer
    x = 34,117.65

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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.