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Finding the Fourth Proportional to 42,976.92, 59,307.88 and 24,114

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Solution

The fourth proportional to 42,976.92, 59,307.88 and 24,114 is: 33,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,976.92 : 59,307.88 = 24,114 : x
  2. Step 2: Convert to fraction form
    42,976.92/59,307.88 = 24,114/x
  3. Step 3: Cross multiply
    42,976.92x = 59,307.88 × 24,114
  4. Step 4: Simplify right side
    42,976.92x = 1,430,150,218.32
  5. Step 5: Solve for x
    x = 1,430,150,218.32/42,976.92
  6. Step 6: Final answer
    x = 33,277.17

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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.