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Finding the Fourth Proportional to 47,870.32, 71,805.52 and 21,544.32

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Solution

The fourth proportional to 47,870.32, 71,805.52 and 21,544.32 is: 32,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,870.32 : 71,805.52 = 21,544.32 : x
  2. Step 2: Convert to fraction form
    47,870.32/71,805.52 = 21,544.32/x
  3. Step 3: Cross multiply
    47,870.32x = 71,805.52 × 21,544.32
  4. Step 4: Simplify right side
    47,870.32x = 1,547,001,100.65
  5. Step 5: Solve for x
    x = 1,547,001,100.65/47,870.32
  6. Step 6: Final answer
    x = 32,316.50

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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.