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Finding the Fourth Proportional to 71,047.30, 98,044.74 and 39,216.19

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Solution

The fourth proportional to 71,047.30, 98,044.74 and 39,216.19 is: 54,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,047.30 : 98,044.74 = 39,216.19 : x
  2. Step 2: Convert to fraction form
    71,047.30/98,044.74 = 39,216.19/x
  3. Step 3: Cross multiply
    71,047.30x = 98,044.74 × 39,216.19
  4. Step 4: Simplify right side
    71,047.30x = 3,844,941,152.34
  5. Step 5: Solve for x
    x = 3,844,941,152.34/71,047.30
  6. Step 6: Final answer
    x = 54,118.05

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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.