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Finding the Fourth Proportional to 32,666.16, 48,994.62 and 10,476.65

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Solution

The fourth proportional to 32,666.16, 48,994.62 and 10,476.65 is: 15,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,666.16 : 48,994.62 = 10,476.65 : x
  2. Step 2: Convert to fraction form
    32,666.16/48,994.62 = 10,476.65/x
  3. Step 3: Cross multiply
    32,666.16x = 48,994.62 × 10,476.65
  4. Step 4: Simplify right side
    32,666.16x = 513,299,608.11
  5. Step 5: Solve for x
    x = 513,299,608.11/32,666.16
  6. Step 6: Final answer
    x = 15,713.50

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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.