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Finding the Fourth Proportional to 102,211.88, 153,323.28 and 32,096.66

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Solution

The fourth proportional to 102,211.88, 153,323.28 and 32,096.66 is: 48,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,211.88 : 153,323.28 = 32,096.66 : x
  2. Step 2: Convert to fraction form
    102,211.88/153,323.28 = 32,096.66/x
  3. Step 3: Cross multiply
    102,211.88x = 153,323.28 × 32,096.66
  4. Step 4: Simplify right side
    102,211.88x = 4,921,164,421.63
  5. Step 5: Solve for x
    x = 4,921,164,421.63/102,211.88
  6. Step 6: Final answer
    x = 48,146.70

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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.