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Finding the Fourth Proportional to 114,652.64, 172,045.92 and 48,087.68

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Solution

The fourth proportional to 114,652.64, 172,045.92 and 48,087.68 is: 72,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,652.64 : 172,045.92 = 48,087.68 : x
  2. Step 2: Convert to fraction form
    114,652.64/172,045.92 = 48,087.68/x
  3. Step 3: Cross multiply
    114,652.64x = 172,045.92 × 48,087.68
  4. Step 4: Simplify right side
    114,652.64x = 8,273,289,146.27
  5. Step 5: Solve for x
    x = 8,273,289,146.27/114,652.64
  6. Step 6: Final answer
    x = 72,159.60

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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.