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Finding the Fourth Proportional to 105,522.48, 145,624.32 and 57,780.36

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Solution

The fourth proportional to 105,522.48, 145,624.32 and 57,780.36 is: 79,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,522.48 : 145,624.32 = 57,780.36 : x
  2. Step 2: Convert to fraction form
    105,522.48/145,624.32 = 57,780.36/x
  3. Step 3: Cross multiply
    105,522.48x = 145,624.32 × 57,780.36
  4. Step 4: Simplify right side
    105,522.48x = 8,414,225,634.36
  5. Step 5: Solve for x
    x = 8,414,225,634.36/105,522.48
  6. Step 6: Final answer
    x = 79,738.70

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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.