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Finding the Fourth Proportional to 90,483.18, 135,702.90 and 37,932

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Solution

The fourth proportional to 90,483.18, 135,702.90 and 37,932 is: 56,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,483.18 : 135,702.90 = 37,932 : x
  2. Step 2: Convert to fraction form
    90,483.18/135,702.90 = 37,932/x
  3. Step 3: Cross multiply
    90,483.18x = 135,702.90 × 37,932
  4. Step 4: Simplify right side
    90,483.18x = 5,147,482,402.80
  5. Step 5: Solve for x
    x = 5,147,482,402.80/90,483.18
  6. Step 6: Final answer
    x = 56,888.83

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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.