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Finding the Fourth Proportional to 115,101.54, 172,675.80 and 48,541.55

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Solution

The fourth proportional to 115,101.54, 172,675.80 and 48,541.55 is: 72,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,101.54 : 172,675.80 = 48,541.55 : x
  2. Step 2: Convert to fraction form
    115,101.54/172,675.80 = 48,541.55/x
  3. Step 3: Cross multiply
    115,101.54x = 172,675.80 × 48,541.55
  4. Step 4: Simplify right side
    115,101.54x = 8,381,950,116.11
  5. Step 5: Solve for x
    x = 8,381,950,116.11/115,101.54
  6. Step 6: Final answer
    x = 72,822.22

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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.