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Finding the Fourth Proportional to 32,188.25, 48,273.15 and 9,701.11

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Solution

The fourth proportional to 32,188.25, 48,273.15 and 9,701.11 is: 14,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188.25 : 48,273.15 = 9,701.11 : x
  2. Step 2: Convert to fraction form
    32,188.25/48,273.15 = 9,701.11/x
  3. Step 3: Cross multiply
    32,188.25x = 48,273.15 × 9,701.11
  4. Step 4: Simplify right side
    32,188.25x = 468,303,085.51
  5. Step 5: Solve for x
    x = 468,303,085.51/32,188.25
  6. Step 6: Final answer
    x = 14,548.88

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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.