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Finding the Fourth Proportional to 49,152.60, 73,641.42 and 22,811.40

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Solution

The fourth proportional to 49,152.60, 73,641.42 and 22,811.40 is: 34,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152.60 : 73,641.42 = 22,811.40 : x
  2. Step 2: Convert to fraction form
    49,152.60/73,641.42 = 22,811.40/x
  3. Step 3: Cross multiply
    49,152.60x = 73,641.42 × 22,811.40
  4. Step 4: Simplify right side
    49,152.60x = 1,679,863,888.19
  5. Step 5: Solve for x
    x = 1,679,863,888.19/49,152.60
  6. Step 6: Final answer
    x = 34,176.50

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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.