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Finding the Fourth Proportional to 34,752.06, 52,128.18 and 8,456.76

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Solution

The fourth proportional to 34,752.06, 52,128.18 and 8,456.76 is: 12,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752.06 : 52,128.18 = 8,456.76 : x
  2. Step 2: Convert to fraction form
    34,752.06/52,128.18 = 8,456.76/x
  3. Step 3: Cross multiply
    34,752.06x = 52,128.18 × 8,456.76
  4. Step 4: Simplify right side
    34,752.06x = 440,835,507.50
  5. Step 5: Solve for x
    x = 440,835,507.50/34,752.06
  6. Step 6: Final answer
    x = 12,685.16

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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.