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Finding the Fourth Proportional to 115,202.32, 172,826.88 and 48,642.64

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Solution

The fourth proportional to 115,202.32, 172,826.88 and 48,642.64 is: 72,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,202.32 : 172,826.88 = 48,642.64 : x
  2. Step 2: Convert to fraction form
    115,202.32/172,826.88 = 48,642.64/x
  3. Step 3: Cross multiply
    115,202.32x = 172,826.88 × 48,642.64
  4. Step 4: Simplify right side
    115,202.32x = 8,406,755,706.16
  5. Step 5: Solve for x
    x = 8,406,755,706.16/115,202.32
  6. Step 6: Final answer
    x = 72,973.84

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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.