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Finding the Fourth Proportional to 78,523.90, 108,364.42 and 42,714.20

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Solution

The fourth proportional to 78,523.90, 108,364.42 and 42,714.20 is: 58,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,523.90 : 108,364.42 = 42,714.20 : x
  2. Step 2: Convert to fraction form
    78,523.90/108,364.42 = 42,714.20/x
  3. Step 3: Cross multiply
    78,523.90x = 108,364.42 × 42,714.20
  4. Step 4: Simplify right side
    78,523.90x = 4,628,699,508.76
  5. Step 5: Solve for x
    x = 4,628,699,508.76/78,523.90
  6. Step 6: Final answer
    x = 58,946.38

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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.