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Finding the Fourth Proportional to 102,618.16, 153,950.34 and 36,062.92

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Solution

The fourth proportional to 102,618.16, 153,950.34 and 36,062.92 is: 54,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,618.16 : 153,950.34 = 36,062.92 : x
  2. Step 2: Convert to fraction form
    102,618.16/153,950.34 = 36,062.92/x
  3. Step 3: Cross multiply
    102,618.16x = 153,950.34 × 36,062.92
  4. Step 4: Simplify right side
    102,618.16x = 5,551,898,795.39
  5. Step 5: Solve for x
    x = 5,551,898,795.39/102,618.16
  6. Step 6: Final answer
    x = 54,102.50

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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.