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Finding the Fourth Proportional to 47,246.40, 65,204.68 and 35,289

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Solution

The fourth proportional to 47,246.40, 65,204.68 and 35,289 is: 48,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,246.40 : 65,204.68 = 35,289 : x
  2. Step 2: Convert to fraction form
    47,246.40/65,204.68 = 35,289/x
  3. Step 3: Cross multiply
    47,246.40x = 65,204.68 × 35,289
  4. Step 4: Simplify right side
    47,246.40x = 2,301,007,952.52
  5. Step 5: Solve for x
    x = 2,301,007,952.52/47,246.40
  6. Step 6: Final answer
    x = 48,702.29

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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.