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Finding the Fourth Proportional to 55,924, 83,897.52 and 23,092

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Solution

The fourth proportional to 55,924, 83,897.52 and 23,092 is: 34,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924 : 83,897.52 = 23,092 : x
  2. Step 2: Convert to fraction form
    55,924/83,897.52 = 23,092/x
  3. Step 3: Cross multiply
    55,924x = 83,897.52 × 23,092
  4. Step 4: Simplify right side
    55,924x = 1,937,361,531.84
  5. Step 5: Solve for x
    x = 1,937,361,531.84/55,924
  6. Step 6: Final answer
    x = 34,642.76

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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.