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Finding the Fourth Proportional to 98,041.88, 147,048.92 and 31,487.76

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Solution

The fourth proportional to 98,041.88, 147,048.92 and 31,487.76 is: 47,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,041.88 : 147,048.92 = 31,487.76 : x
  2. Step 2: Convert to fraction form
    98,041.88/147,048.92 = 31,487.76/x
  3. Step 3: Cross multiply
    98,041.88x = 147,048.92 × 31,487.76
  4. Step 4: Simplify right side
    98,041.88x = 4,630,241,101.22
  5. Step 5: Solve for x
    x = 4,630,241,101.22/98,041.88
  6. Step 6: Final answer
    x = 47,227.18

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1.5x scale

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.