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Finding the Fourth Proportional to 32,120, 48,159.75 and 15,484.22

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Solution

The fourth proportional to 32,120, 48,159.75 and 15,484.22 is: 23,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120 : 48,159.75 = 15,484.22 : x
  2. Step 2: Convert to fraction form
    32,120/48,159.75 = 15,484.22/x
  3. Step 3: Cross multiply
    32,120x = 48,159.75 × 15,484.22
  4. Step 4: Simplify right side
    32,120x = 745,716,164.15
  5. Step 5: Solve for x
    x = 745,716,164.15/32,120
  6. Step 6: Final answer
    x = 23,216.57

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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.