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Finding the Fourth Proportional to 114,817.50, 172,248.12 and 52,488

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Solution

The fourth proportional to 114,817.50, 172,248.12 and 52,488 is: 78,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,817.50 : 172,248.12 = 52,488 : x
  2. Step 2: Convert to fraction form
    114,817.50/172,248.12 = 52,488/x
  3. Step 3: Cross multiply
    114,817.50x = 172,248.12 × 52,488
  4. Step 4: Simplify right side
    114,817.50x = 9,040,959,322.56
  5. Step 5: Solve for x
    x = 9,040,959,322.56/114,817.50
  6. Step 6: Final answer
    x = 78,742.00

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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.