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Finding the Fourth Proportional to 84,221.50, 116,225.70 and 46,498.18

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Solution

The fourth proportional to 84,221.50, 116,225.70 and 46,498.18 is: 64,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,221.50 : 116,225.70 = 46,498.18 : x
  2. Step 2: Convert to fraction form
    84,221.50/116,225.70 = 46,498.18/x
  3. Step 3: Cross multiply
    84,221.50x = 116,225.70 × 46,498.18
  4. Step 4: Simplify right side
    84,221.50x = 5,404,283,519.23
  5. Step 5: Solve for x
    x = 5,404,283,519.23/84,221.50
  6. Step 6: Final answer
    x = 64,167.50

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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.