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Finding the Fourth Proportional to 85,547.52, 118,047.36 and 47,819.52

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Solution

The fourth proportional to 85,547.52, 118,047.36 and 47,819.52 is: 65,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,547.52 : 118,047.36 = 47,819.52 : x
  2. Step 2: Convert to fraction form
    85,547.52/118,047.36 = 47,819.52/x
  3. Step 3: Cross multiply
    85,547.52x = 118,047.36 × 47,819.52
  4. Step 4: Simplify right side
    85,547.52x = 5,644,968,092.47
  5. Step 5: Solve for x
    x = 5,644,968,092.47/85,547.52
  6. Step 6: Final answer
    x = 65,986.34

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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.