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Finding the Fourth Proportional to 42,427, 58,549.28 and 23,564.28

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Solution

The fourth proportional to 42,427, 58,549.28 and 23,564.28 is: 32,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,427 : 58,549.28 = 23,564.28 : x
  2. Step 2: Convert to fraction form
    42,427/58,549.28 = 23,564.28/x
  3. Step 3: Cross multiply
    42,427x = 58,549.28 × 23,564.28
  4. Step 4: Simplify right side
    42,427x = 1,379,671,627.72
  5. Step 5: Solve for x
    x = 1,379,671,627.72/42,427
  6. Step 6: Final answer
    x = 32,518.72

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Why These Related Problems?

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