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Finding the Fourth Proportional to 42,024.94, 58,078.02 and 34,459.54

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Solution

The fourth proportional to 42,024.94, 58,078.02 and 34,459.54 is: 47,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,024.94 : 58,078.02 = 34,459.54 : x
  2. Step 2: Convert to fraction form
    42,024.94/58,078.02 = 34,459.54/x
  3. Step 3: Cross multiply
    42,024.94x = 58,078.02 × 34,459.54
  4. Step 4: Simplify right side
    42,024.94x = 2,001,341,853.31
  5. Step 5: Solve for x
    x = 2,001,341,853.31/42,024.94
  6. Step 6: Final answer
    x = 47,622.72

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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.