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Finding the Fourth Proportional to 47,752.38, 65,900.52 and 26,532

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Solution

The fourth proportional to 47,752.38, 65,900.52 and 26,532 is: 36,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752.38 : 65,900.52 = 26,532 : x
  2. Step 2: Convert to fraction form
    47,752.38/65,900.52 = 26,532/x
  3. Step 3: Cross multiply
    47,752.38x = 65,900.52 × 26,532
  4. Step 4: Simplify right side
    47,752.38x = 1,748,472,596.64
  5. Step 5: Solve for x
    x = 1,748,472,596.64/47,752.38
  6. Step 6: Final answer
    x = 36,615.40

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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.