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Finding the Fourth Proportional to 52,507.65, 78,761.31 and 13,064.76

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Solution

The fourth proportional to 52,507.65, 78,761.31 and 13,064.76 is: 19,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.65 : 78,761.31 = 13,064.76 : x
  2. Step 2: Convert to fraction form
    52,507.65/78,761.31 = 13,064.76/x
  3. Step 3: Cross multiply
    52,507.65x = 78,761.31 × 13,064.76
  4. Step 4: Simplify right side
    52,507.65x = 1,028,997,612.44
  5. Step 5: Solve for x
    x = 1,028,997,612.44/52,507.65
  6. Step 6: Final answer
    x = 19,597.10

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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.