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Finding the Fourth Proportional to 35,631.84, 53,382.15 and 31,695.24

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Solution

The fourth proportional to 35,631.84, 53,382.15 and 31,695.24 is: 47,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,631.84 : 53,382.15 = 31,695.24 : x
  2. Step 2: Convert to fraction form
    35,631.84/53,382.15 = 31,695.24/x
  3. Step 3: Cross multiply
    35,631.84x = 53,382.15 × 31,695.24
  4. Step 4: Simplify right side
    35,631.84x = 1,691,960,055.97
  5. Step 5: Solve for x
    x = 1,691,960,055.97/35,631.84
  6. Step 6: Final answer
    x = 47,484.50

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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.