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Finding the Fourth Proportional to 42,405.47, 58,518.47 and 23,541.38

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Solution

The fourth proportional to 42,405.47, 58,518.47 and 23,541.38 is: 32,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,405.47 : 58,518.47 = 23,541.38 : x
  2. Step 2: Convert to fraction form
    42,405.47/58,518.47 = 23,541.38/x
  3. Step 3: Cross multiply
    42,405.47x = 58,518.47 × 23,541.38
  4. Step 4: Simplify right side
    42,405.47x = 1,377,605,305.55
  5. Step 5: Solve for x
    x = 1,377,605,305.55/42,405.47
  6. Step 6: Final answer
    x = 32,486.50

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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.