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Finding the Fourth Proportional to 42,405.78, 58,513.14 and 24,503.16

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Solution

The fourth proportional to 42,405.78, 58,513.14 and 24,503.16 is: 33,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,405.78 : 58,513.14 = 24,503.16 : x
  2. Step 2: Convert to fraction form
    42,405.78/58,513.14 = 24,503.16/x
  3. Step 3: Cross multiply
    42,405.78x = 58,513.14 × 24,503.16
  4. Step 4: Simplify right side
    42,405.78x = 1,433,756,831.52
  5. Step 5: Solve for x
    x = 1,433,756,831.52/42,405.78
  6. Step 6: Final answer
    x = 33,810.41

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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.