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Finding the Fourth Proportional to 76,144.61, 105,078.30 and 42,152.39

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Solution

The fourth proportional to 76,144.61, 105,078.30 and 42,152.39 is: 58,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,144.61 : 105,078.30 = 42,152.39 : x
  2. Step 2: Convert to fraction form
    76,144.61/105,078.30 = 42,152.39/x
  3. Step 3: Cross multiply
    76,144.61x = 105,078.30 × 42,152.39
  4. Step 4: Simplify right side
    76,144.61x = 4,429,301,586.76
  5. Step 5: Solve for x
    x = 4,429,301,586.76/76,144.61
  6. Step 6: Final answer
    x = 58,169.60

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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.