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Finding the Fourth Proportional to 85,830.40, 118,447.37 and 47,591.56

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Solution

The fourth proportional to 85,830.40, 118,447.37 and 47,591.56 is: 65,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,830.40 : 118,447.37 = 47,591.56 : x
  2. Step 2: Convert to fraction form
    85,830.40/118,447.37 = 47,591.56/x
  3. Step 3: Cross multiply
    85,830.40x = 118,447.37 × 47,591.56
  4. Step 4: Simplify right side
    85,830.40x = 5,637,095,139.34
  5. Step 5: Solve for x
    x = 5,637,095,139.34/85,830.40
  6. Step 6: Final answer
    x = 65,677.14

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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.