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Finding the Fourth Proportional to 107,152.84, 160,677.30 and 32,259.02

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Solution

The fourth proportional to 107,152.84, 160,677.30 and 32,259.02 is: 48,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,152.84 : 160,677.30 = 32,259.02 : x
  2. Step 2: Convert to fraction form
    107,152.84/160,677.30 = 32,259.02/x
  3. Step 3: Cross multiply
    107,152.84x = 160,677.30 × 32,259.02
  4. Step 4: Simplify right side
    107,152.84x = 5,183,292,234.25
  5. Step 5: Solve for x
    x = 5,183,292,234.25/107,152.84
  6. Step 6: Final answer
    x = 48,372.89

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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.