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Finding the Fourth Proportional to 103,886.52, 155,973.96 and 53,321.40

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Solution

The fourth proportional to 103,886.52, 155,973.96 and 53,321.40 is: 80,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,886.52 : 155,973.96 = 53,321.40 : x
  2. Step 2: Convert to fraction form
    103,886.52/155,973.96 = 53,321.40/x
  3. Step 3: Cross multiply
    103,886.52x = 155,973.96 × 53,321.40
  4. Step 4: Simplify right side
    103,886.52x = 8,316,749,910.74
  5. Step 5: Solve for x
    x = 8,316,749,910.74/103,886.52
  6. Step 6: Final answer
    x = 80,056.10

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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.