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Finding the Fourth Proportional to 32,666.84, 49,004.84 and 10,475

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Solution

The fourth proportional to 32,666.84, 49,004.84 and 10,475 is: 15,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,666.84 : 49,004.84 = 10,475 : x
  2. Step 2: Convert to fraction form
    32,666.84/49,004.84 = 10,475/x
  3. Step 3: Cross multiply
    32,666.84x = 49,004.84 × 10,475
  4. Step 4: Simplify right side
    32,666.84x = 513,325,699.00
  5. Step 5: Solve for x
    x = 513,325,699.00/32,666.84
  6. Step 6: Final answer
    x = 15,713.97

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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.