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Finding the Fourth Proportional to 32,720.16, 49,080.48 and 9,346.88

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Solution

The fourth proportional to 32,720.16, 49,080.48 and 9,346.88 is: 14,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,720.16 : 49,080.48 = 9,346.88 : x
  2. Step 2: Convert to fraction form
    32,720.16/49,080.48 = 9,346.88/x
  3. Step 3: Cross multiply
    32,720.16x = 49,080.48 × 9,346.88
  4. Step 4: Simplify right side
    32,720.16x = 458,749,356.90
  5. Step 5: Solve for x
    x = 458,749,356.90/32,720.16
  6. Step 6: Final answer
    x = 14,020.39

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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.