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Finding the Fourth Proportional to 32,077.04, 48,114.48 and 11,300

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Solution

The fourth proportional to 32,077.04, 48,114.48 and 11,300 is: 16,949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.04 : 48,114.48 = 11,300 : x
  2. Step 2: Convert to fraction form
    32,077.04/48,114.48 = 11,300/x
  3. Step 3: Cross multiply
    32,077.04x = 48,114.48 × 11,300
  4. Step 4: Simplify right side
    32,077.04x = 543,693,624
  5. Step 5: Solve for x
    x = 543,693,624/32,077.04
  6. Step 6: Final answer
    x = 16,949.62

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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.