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Finding the Fourth Proportional to 102,695.52, 154,004.40 and 40,332

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Solution

The fourth proportional to 102,695.52, 154,004.40 and 40,332 is: 60,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,695.52 : 154,004.40 = 40,332 : x
  2. Step 2: Convert to fraction form
    102,695.52/154,004.40 = 40,332/x
  3. Step 3: Cross multiply
    102,695.52x = 154,004.40 × 40,332
  4. Step 4: Simplify right side
    102,695.52x = 6,211,305,460.80
  5. Step 5: Solve for x
    x = 6,211,305,460.80/102,695.52
  6. Step 6: Final answer
    x = 60,482.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.