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Finding the Fourth Proportional to 76,478.52, 105,541.74 and 42,945.72

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Solution

The fourth proportional to 76,478.52, 105,541.74 and 42,945.72 is: 59,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.52 : 105,541.74 = 42,945.72 : x
  2. Step 2: Convert to fraction form
    76,478.52/105,541.74 = 42,945.72/x
  3. Step 3: Cross multiply
    76,478.52x = 105,541.74 × 42,945.72
  4. Step 4: Simplify right side
    76,478.52x = 4,532,566,014.35
  5. Step 5: Solve for x
    x = 4,532,566,014.35/76,478.52
  6. Step 6: Final answer
    x = 59,265.87

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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.