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Finding the Fourth Proportional to 85,352.24, 117,780 and 47,104.16

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Solution

The fourth proportional to 85,352.24, 117,780 and 47,104.16 is: 65,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,352.24 : 117,780 = 47,104.16 : x
  2. Step 2: Convert to fraction form
    85,352.24/117,780 = 47,104.16/x
  3. Step 3: Cross multiply
    85,352.24x = 117,780 × 47,104.16
  4. Step 4: Simplify right side
    85,352.24x = 5,547,927,964.80
  5. Step 5: Solve for x
    x = 5,547,927,964.80/85,352.24
  6. Step 6: Final answer
    x = 65,000.38

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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.