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Finding the Fourth Proportional to 76,360.34, 114,574.54 and 29,616.86

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Solution

The fourth proportional to 76,360.34, 114,574.54 and 29,616.86 is: 44,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,360.34 : 114,574.54 = 29,616.86 : x
  2. Step 2: Convert to fraction form
    76,360.34/114,574.54 = 29,616.86/x
  3. Step 3: Cross multiply
    76,360.34x = 114,574.54 × 29,616.86
  4. Step 4: Simplify right side
    76,360.34x = 3,393,338,110.74
  5. Step 5: Solve for x
    x = 3,393,338,110.74/76,360.34
  6. Step 6: Final answer
    x = 44,438.49

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