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Finding the Fourth Proportional to 63,778, 88,013.64 and 37,282

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Solution

The fourth proportional to 63,778, 88,013.64 and 37,282 is: 51,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,778 : 88,013.64 = 37,282 : x
  2. Step 2: Convert to fraction form
    63,778/88,013.64 = 37,282/x
  3. Step 3: Cross multiply
    63,778x = 88,013.64 × 37,282
  4. Step 4: Simplify right side
    63,778x = 3,281,324,526.48
  5. Step 5: Solve for x
    x = 3,281,324,526.48/63,778
  6. Step 6: Final answer
    x = 51,449.16

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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.