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Finding the Fourth Proportional to 47,262.71, 65,222.16 and 25,752.38

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Solution

The fourth proportional to 47,262.71, 65,222.16 and 25,752.38 is: 35,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,262.71 : 65,222.16 = 25,752.38 : x
  2. Step 2: Convert to fraction form
    47,262.71/65,222.16 = 25,752.38/x
  3. Step 3: Cross multiply
    47,262.71x = 65,222.16 × 25,752.38
  4. Step 4: Simplify right side
    47,262.71x = 1,679,625,522.63
  5. Step 5: Solve for x
    x = 1,679,625,522.63/47,262.71
  6. Step 6: Final answer
    x = 35,538.07

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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.