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Finding the Fourth Proportional to 32,123.84, 48,189.36 and 8,750.48

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Solution

The fourth proportional to 32,123.84, 48,189.36 and 8,750.48 is: 13,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.84 : 48,189.36 = 8,750.48 : x
  2. Step 2: Convert to fraction form
    32,123.84/48,189.36 = 8,750.48/x
  3. Step 3: Cross multiply
    32,123.84x = 48,189.36 × 8,750.48
  4. Step 4: Simplify right side
    32,123.84x = 421,680,030.89
  5. Step 5: Solve for x
    x = 421,680,030.89/32,123.84
  6. Step 6: Final answer
    x = 13,126.70

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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.