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Finding the Fourth Proportional to 162,009.94, 243,005.81 and 49,689.85

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Solution

The fourth proportional to 162,009.94, 243,005.81 and 49,689.85 is: 74,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,009.94 : 243,005.81 = 49,689.85 : x
  2. Step 2: Convert to fraction form
    162,009.94/243,005.81 = 49,689.85/x
  3. Step 3: Cross multiply
    162,009.94x = 243,005.81 × 49,689.85
  4. Step 4: Simplify right side
    162,009.94x = 12,074,922,248.03
  5. Step 5: Solve for x
    x = 12,074,922,248.03/162,009.94
  6. Step 6: Final answer
    x = 74,531.98

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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.