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Finding the Fourth Proportional to 37,564.34, 56,402.88 and 35,758.69

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Solution

The fourth proportional to 37,564.34, 56,402.88 and 35,758.69 is: 53,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,564.34 : 56,402.88 = 35,758.69 : x
  2. Step 2: Convert to fraction form
    37,564.34/56,402.88 = 35,758.69/x
  3. Step 3: Cross multiply
    37,564.34x = 56,402.88 × 35,758.69
  4. Step 4: Simplify right side
    37,564.34x = 2,016,893,101.03
  5. Step 5: Solve for x
    x = 2,016,893,101.03/37,564.34
  6. Step 6: Final answer
    x = 53,691.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.