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Finding the Fourth Proportional to 76,520.38, 105,598.02 and 42,527.80

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Solution

The fourth proportional to 76,520.38, 105,598.02 and 42,527.80 is: 58,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,520.38 : 105,598.02 = 42,527.80 : x
  2. Step 2: Convert to fraction form
    76,520.38/105,598.02 = 42,527.80/x
  3. Step 3: Cross multiply
    76,520.38x = 105,598.02 × 42,527.80
  4. Step 4: Simplify right side
    76,520.38x = 4,490,851,474.96
  5. Step 5: Solve for x
    x = 4,490,851,474.96/76,520.38
  6. Step 6: Final answer
    x = 58,688.31

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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.