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Finding the Fourth Proportional to 42,197.52, 58,225.71 and 23,331

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Solution

The fourth proportional to 42,197.52, 58,225.71 and 23,331 is: 32,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,197.52 : 58,225.71 = 23,331 : x
  2. Step 2: Convert to fraction form
    42,197.52/58,225.71 = 23,331/x
  3. Step 3: Cross multiply
    42,197.52x = 58,225.71 × 23,331
  4. Step 4: Simplify right side
    42,197.52x = 1,358,464,040.01
  5. Step 5: Solve for x
    x = 1,358,464,040.01/42,197.52
  6. Step 6: Final answer
    x = 32,192.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.