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Finding the Fourth Proportional to 47,641.90, 65,749.86 and 26,428

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Solution

The fourth proportional to 47,641.90, 65,749.86 and 26,428 is: 36,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,641.90 : 65,749.86 = 26,428 : x
  2. Step 2: Convert to fraction form
    47,641.90/65,749.86 = 26,428/x
  3. Step 3: Cross multiply
    47,641.90x = 65,749.86 × 26,428
  4. Step 4: Simplify right side
    47,641.90x = 1,737,637,300.08
  5. Step 5: Solve for x
    x = 1,737,637,300.08/47,641.90
  6. Step 6: Final answer
    x = 36,472.88

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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.