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Finding the Fourth Proportional to 32,155, 48,232.18 and 8,781.44

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Solution

The fourth proportional to 32,155, 48,232.18 and 8,781.44 is: 13,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155 : 48,232.18 = 8,781.44 : x
  2. Step 2: Convert to fraction form
    32,155/48,232.18 = 8,781.44/x
  3. Step 3: Cross multiply
    32,155x = 48,232.18 × 8,781.44
  4. Step 4: Simplify right side
    32,155x = 423,547,994.74
  5. Step 5: Solve for x
    x = 423,547,994.74/32,155
  6. Step 6: Final answer
    x = 13,172.07

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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.