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Finding the Fourth Proportional to 98,041.28, 147,048.03 and 31,472.64

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Solution

The fourth proportional to 98,041.28, 147,048.03 and 31,472.64 is: 47,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,041.28 : 147,048.03 = 31,472.64 : x
  2. Step 2: Convert to fraction form
    98,041.28/147,048.03 = 31,472.64/x
  3. Step 3: Cross multiply
    98,041.28x = 147,048.03 × 31,472.64
  4. Step 4: Simplify right side
    98,041.28x = 4,627,989,710.90
  5. Step 5: Solve for x
    x = 4,627,989,710.90/98,041.28
  6. Step 6: Final answer
    x = 47,204.50

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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.