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Finding the Fourth Proportional to 42,324.16, 58,407.60 and 23,461.60

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Solution

The fourth proportional to 42,324.16, 58,407.60 and 23,461.60 is: 32,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,324.16 : 58,407.60 = 23,461.60 : x
  2. Step 2: Convert to fraction form
    42,324.16/58,407.60 = 23,461.60/x
  3. Step 3: Cross multiply
    42,324.16x = 58,407.60 × 23,461.60
  4. Step 4: Simplify right side
    42,324.16x = 1,370,335,748.16
  5. Step 5: Solve for x
    x = 1,370,335,748.16/42,324.16
  6. Step 6: Final answer
    x = 32,377.15

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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.