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Finding the Fourth Proportional to 86,073.86, 118,774.35 and 47,830.98

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Solution

The fourth proportional to 86,073.86, 118,774.35 and 47,830.98 is: 66,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,073.86 : 118,774.35 = 47,830.98 : x
  2. Step 2: Convert to fraction form
    86,073.86/118,774.35 = 47,830.98/x
  3. Step 3: Cross multiply
    86,073.86x = 118,774.35 × 47,830.98
  4. Step 4: Simplify right side
    86,073.86x = 5,681,093,559.36
  5. Step 5: Solve for x
    x = 5,681,093,559.36/86,073.86
  6. Step 6: Final answer
    x = 66,002.54

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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.