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Finding the Fourth Proportional to 52,472.93, 78,686.23 and 15,024.51

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Solution

The fourth proportional to 52,472.93, 78,686.23 and 15,024.51 is: 22,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,472.93 : 78,686.23 = 15,024.51 : x
  2. Step 2: Convert to fraction form
    52,472.93/78,686.23 = 15,024.51/x
  3. Step 3: Cross multiply
    52,472.93x = 78,686.23 × 15,024.51
  4. Step 4: Simplify right side
    52,472.93x = 1,182,221,656.07
  5. Step 5: Solve for x
    x = 1,182,221,656.07/52,472.93
  6. Step 6: Final answer
    x = 22,530.12

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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.