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Finding the Fourth Proportional to 99,047.73, 148,585.74 and 32,493.07

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Solution

The fourth proportional to 99,047.73, 148,585.74 and 32,493.07 is: 48,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,047.73 : 148,585.74 = 32,493.07 : x
  2. Step 2: Convert to fraction form
    99,047.73/148,585.74 = 32,493.07/x
  3. Step 3: Cross multiply
    99,047.73x = 148,585.74 × 32,493.07
  4. Step 4: Simplify right side
    99,047.73x = 4,828,006,850.82
  5. Step 5: Solve for x
    x = 4,828,006,850.82/99,047.73
  6. Step 6: Final answer
    x = 48,744.25

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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.