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Finding the Fourth Proportional to 47,312.29, 65,294 and 26,091.64

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Solution

The fourth proportional to 47,312.29, 65,294 and 26,091.64 is: 36,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,312.29 : 65,294 = 26,091.64 : x
  2. Step 2: Convert to fraction form
    47,312.29/65,294 = 26,091.64/x
  3. Step 3: Cross multiply
    47,312.29x = 65,294 × 26,091.64
  4. Step 4: Simplify right side
    47,312.29x = 1,703,627,542.16
  5. Step 5: Solve for x
    x = 1,703,627,542.16/47,312.29
  6. Step 6: Final answer
    x = 36,008.14

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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.