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Finding the Fourth Proportional to 70,549.60, 105,741 and 31,024.08

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Solution

The fourth proportional to 70,549.60, 105,741 and 31,024.08 is: 46,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,549.60 : 105,741 = 31,024.08 : x
  2. Step 2: Convert to fraction form
    70,549.60/105,741 = 31,024.08/x
  3. Step 3: Cross multiply
    70,549.60x = 105,741 × 31,024.08
  4. Step 4: Simplify right side
    70,549.60x = 3,280,517,243.28
  5. Step 5: Solve for x
    x = 3,280,517,243.28/70,549.60
  6. Step 6: Final answer
    x = 46,499.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.