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Finding the Fourth Proportional to 94,895.76, 142,295.22 and 31,693.11

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Solution

The fourth proportional to 94,895.76, 142,295.22 and 31,693.11 is: 47,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,895.76 : 142,295.22 = 31,693.11 : x
  2. Step 2: Convert to fraction form
    94,895.76/142,295.22 = 31,693.11/x
  3. Step 3: Cross multiply
    94,895.76x = 142,295.22 × 31,693.11
  4. Step 4: Simplify right side
    94,895.76x = 4,509,778,059.93
  5. Step 5: Solve for x
    x = 4,509,778,059.93/94,895.76
  6. Step 6: Final answer
    x = 47,523.49

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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.