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Finding the Fourth Proportional to 52,578, 78,867.54 and 15,642

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Solution

The fourth proportional to 52,578, 78,867.54 and 15,642 is: 23,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578 : 78,867.54 = 15,642 : x
  2. Step 2: Convert to fraction form
    52,578/78,867.54 = 15,642/x
  3. Step 3: Cross multiply
    52,578x = 78,867.54 × 15,642
  4. Step 4: Simplify right side
    52,578x = 1,233,646,060.68
  5. Step 5: Solve for x
    x = 1,233,646,060.68/52,578
  6. Step 6: Final answer
    x = 23,463.16

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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.