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Finding the Fourth Proportional to 76,110.57, 105,030 and 42,120.49

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Solution

The fourth proportional to 76,110.57, 105,030 and 42,120.49 is: 58,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,110.57 : 105,030 = 42,120.49 : x
  2. Step 2: Convert to fraction form
    76,110.57/105,030 = 42,120.49/x
  3. Step 3: Cross multiply
    76,110.57x = 105,030 × 42,120.49
  4. Step 4: Simplify right side
    76,110.57x = 4,423,915,064.70
  5. Step 5: Solve for x
    x = 4,423,915,064.70/76,110.57
  6. Step 6: Final answer
    x = 58,124.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.