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Finding the Fourth Proportional to 85,352.89, 117,788.98 and 47,113.02

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Solution

The fourth proportional to 85,352.89, 117,788.98 and 47,113.02 is: 65,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,352.89 : 117,788.98 = 47,113.02 : x
  2. Step 2: Convert to fraction form
    85,352.89/117,788.98 = 47,113.02/x
  3. Step 3: Cross multiply
    85,352.89x = 117,788.98 × 47,113.02
  4. Step 4: Simplify right side
    85,352.89x = 5,549,394,570.52
  5. Step 5: Solve for x
    x = 5,549,394,570.52/85,352.89
  6. Step 6: Final answer
    x = 65,017.07

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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.