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Finding the Fourth Proportional to 77,390.74, 116,012.05 and 49,223.53

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Solution

The fourth proportional to 77,390.74, 116,012.05 and 49,223.53 is: 73,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,390.74 : 116,012.05 = 49,223.53 : x
  2. Step 2: Convert to fraction form
    77,390.74/116,012.05 = 49,223.53/x
  3. Step 3: Cross multiply
    77,390.74x = 116,012.05 × 49,223.53
  4. Step 4: Simplify right side
    77,390.74x = 5,710,522,645.49
  5. Step 5: Solve for x
    x = 5,710,522,645.49/77,390.74
  6. Step 6: Final answer
    x = 73,788.19

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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.