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Finding the Fourth Proportional to 86,746, 119,709.56 and 47,002

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Solution

The fourth proportional to 86,746, 119,709.56 and 47,002 is: 64,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,746 : 119,709.56 = 47,002 : x
  2. Step 2: Convert to fraction form
    86,746/119,709.56 = 47,002/x
  3. Step 3: Cross multiply
    86,746x = 119,709.56 × 47,002
  4. Step 4: Simplify right side
    86,746x = 5,626,588,739.12
  5. Step 5: Solve for x
    x = 5,626,588,739.12/86,746
  6. Step 6: Final answer
    x = 64,862.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.