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Finding the Fourth Proportional to 102,448.89, 153,700.70 and 32,329.53

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Solution

The fourth proportional to 102,448.89, 153,700.70 and 32,329.53 is: 48,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,448.89 : 153,700.70 = 32,329.53 : x
  2. Step 2: Convert to fraction form
    102,448.89/153,700.70 = 32,329.53/x
  3. Step 3: Cross multiply
    102,448.89x = 153,700.70 × 32,329.53
  4. Step 4: Simplify right side
    102,448.89x = 4,969,071,230.02
  5. Step 5: Solve for x
    x = 4,969,071,230.02/102,448.89
  6. Step 6: Final answer
    x = 48,502.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.