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Finding the Fourth Proportional to 47,314.52, 65,320.30 and 34,555

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Solution

The fourth proportional to 47,314.52, 65,320.30 and 34,555 is: 47,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,314.52 : 65,320.30 = 34,555 : x
  2. Step 2: Convert to fraction form
    47,314.52/65,320.30 = 34,555/x
  3. Step 3: Cross multiply
    47,314.52x = 65,320.30 × 34,555
  4. Step 4: Simplify right side
    47,314.52x = 2,257,142,966.50
  5. Step 5: Solve for x
    x = 2,257,142,966.50/47,314.52
  6. Step 6: Final answer
    x = 47,705.08

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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.