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Finding the Fourth Proportional to 117,024.48, 175,468.98 and 45,863.96

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Solution

The fourth proportional to 117,024.48, 175,468.98 and 45,863.96 is: 68,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,024.48 : 175,468.98 = 45,863.96 : x
  2. Step 2: Convert to fraction form
    117,024.48/175,468.98 = 45,863.96/x
  3. Step 3: Cross multiply
    117,024.48x = 175,468.98 × 45,863.96
  4. Step 4: Simplify right side
    117,024.48x = 8,047,701,574.61
  5. Step 5: Solve for x
    x = 8,047,701,574.61/117,024.48
  6. Step 6: Final answer
    x = 68,769.39

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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.