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Finding the Fourth Proportional to 60,931.44, 84,097.01 and 40,823.38

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Solution

The fourth proportional to 60,931.44, 84,097.01 and 40,823.38 is: 56,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,931.44 : 84,097.01 = 40,823.38 : x
  2. Step 2: Convert to fraction form
    60,931.44/84,097.01 = 40,823.38/x
  3. Step 3: Cross multiply
    60,931.44x = 84,097.01 × 40,823.38
  4. Step 4: Simplify right side
    60,931.44x = 3,433,124,326.73
  5. Step 5: Solve for x
    x = 3,433,124,326.73/60,931.44
  6. Step 6: Final answer
    x = 56,344.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.