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Finding the Fourth Proportional to 32,062.86, 48,052.62 and 13,065.32

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Solution

The fourth proportional to 32,062.86, 48,052.62 and 13,065.32 is: 19,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,062.86 : 48,052.62 = 13,065.32 : x
  2. Step 2: Convert to fraction form
    32,062.86/48,052.62 = 13,065.32/x
  3. Step 3: Cross multiply
    32,062.86x = 48,052.62 × 13,065.32
  4. Step 4: Simplify right side
    32,062.86x = 627,822,857.14
  5. Step 5: Solve for x
    x = 627,822,857.14/32,062.86
  6. Step 6: Final answer
    x = 19,581.00

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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.