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Finding the Fourth Proportional to 77,869.80, 116,670.30 and 36,231.40

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Solution

The fourth proportional to 77,869.80, 116,670.30 and 36,231.40 is: 54,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,869.80 : 116,670.30 = 36,231.40 : x
  2. Step 2: Convert to fraction form
    77,869.80/116,670.30 = 36,231.40/x
  3. Step 3: Cross multiply
    77,869.80x = 116,670.30 × 36,231.40
  4. Step 4: Simplify right side
    77,869.80x = 4,227,128,307.42
  5. Step 5: Solve for x
    x = 4,227,128,307.42/77,869.80
  6. Step 6: Final answer
    x = 54,284.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.