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Finding the Fourth Proportional to 52,479.48, 78,695.96 and 15,031

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Solution

The fourth proportional to 52,479.48, 78,695.96 and 15,031 is: 22,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,479.48 : 78,695.96 = 15,031 : x
  2. Step 2: Convert to fraction form
    52,479.48/78,695.96 = 15,031/x
  3. Step 3: Cross multiply
    52,479.48x = 78,695.96 × 15,031
  4. Step 4: Simplify right side
    52,479.48x = 1,182,878,974.76
  5. Step 5: Solve for x
    x = 1,182,878,974.76/52,479.48
  6. Step 6: Final answer
    x = 22,539.84

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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.