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Finding the Fourth Proportional to 85,851.63, 118,499.91 and 51,854.70

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Solution

The fourth proportional to 85,851.63, 118,499.91 and 51,854.70 is: 71,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,851.63 : 118,499.91 = 51,854.70 : x
  2. Step 2: Convert to fraction form
    85,851.63/118,499.91 = 51,854.70/x
  3. Step 3: Cross multiply
    85,851.63x = 118,499.91 × 51,854.70
  4. Step 4: Simplify right side
    85,851.63x = 6,144,777,283.08
  5. Step 5: Solve for x
    x = 6,144,777,283.08/85,851.63
  6. Step 6: Final answer
    x = 71,574.38

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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.