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Finding the Fourth Proportional to 98,780, 148,154.94 and 32,220.02

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Solution

The fourth proportional to 98,780, 148,154.94 and 32,220.02 is: 48,325.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,780 : 148,154.94 = 32,220.02 : x
  2. Step 2: Convert to fraction form
    98,780/148,154.94 = 32,220.02/x
  3. Step 3: Cross multiply
    98,780x = 148,154.94 × 32,220.02
  4. Step 4: Simplify right side
    98,780x = 4,773,555,129.90
  5. Step 5: Solve for x
    x = 4,773,555,129.90/98,780
  6. Step 6: Final answer
    x = 48,325.12

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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.