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Finding the Fourth Proportional to 98,426.44, 147,663.17 and 31,866.63

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Solution

The fourth proportional to 98,426.44, 147,663.17 and 31,866.63 is: 47,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,426.44 : 147,663.17 = 31,866.63 : x
  2. Step 2: Convert to fraction form
    98,426.44/147,663.17 = 31,866.63/x
  3. Step 3: Cross multiply
    98,426.44x = 147,663.17 × 31,866.63
  4. Step 4: Simplify right side
    98,426.44x = 4,705,528,255.35
  5. Step 5: Solve for x
    x = 4,705,528,255.35/98,426.44
  6. Step 6: Final answer
    x = 47,807.57

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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.