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Finding the Fourth Proportional to 84,333.50, 116,368.96 and 54,159.69

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Solution

The fourth proportional to 84,333.50, 116,368.96 and 54,159.69 is: 74,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,333.50 : 116,368.96 = 54,159.69 : x
  2. Step 2: Convert to fraction form
    84,333.50/116,368.96 = 54,159.69/x
  3. Step 3: Cross multiply
    84,333.50x = 116,368.96 × 54,159.69
  4. Step 4: Simplify right side
    84,333.50x = 6,302,506,217.38
  5. Step 5: Solve for x
    x = 6,302,506,217.38/84,333.50
  6. Step 6: Final answer
    x = 74,733.13

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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.