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Finding the Fourth Proportional to 47,134.72, 65,046.40 and 25,914.40

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Solution

The fourth proportional to 47,134.72, 65,046.40 and 25,914.40 is: 35,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,134.72 : 65,046.40 = 25,914.40 : x
  2. Step 2: Convert to fraction form
    47,134.72/65,046.40 = 25,914.40/x
  3. Step 3: Cross multiply
    47,134.72x = 65,046.40 × 25,914.40
  4. Step 4: Simplify right side
    47,134.72x = 1,685,638,428.16
  5. Step 5: Solve for x
    x = 1,685,638,428.16/47,134.72
  6. Step 6: Final answer
    x = 35,762.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.