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Finding the Fourth Proportional to 99,827.64, 137,762.64 and 54,506.52

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Solution

The fourth proportional to 99,827.64, 137,762.64 and 54,506.52 is: 75,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,827.64 : 137,762.64 = 54,506.52 : x
  2. Step 2: Convert to fraction form
    99,827.64/137,762.64 = 54,506.52/x
  3. Step 3: Cross multiply
    99,827.64x = 137,762.64 × 54,506.52
  4. Step 4: Simplify right side
    99,827.64x = 7,508,962,092.41
  5. Step 5: Solve for x
    x = 7,508,962,092.41/99,827.64
  6. Step 6: Final answer
    x = 75,219.27

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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.