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Finding the Fourth Proportional to 47,699.65, 65,812.17 and 29,812.83

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Solution

The fourth proportional to 47,699.65, 65,812.17 and 29,812.83 is: 41,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,699.65 : 65,812.17 = 29,812.83 : x
  2. Step 2: Convert to fraction form
    47,699.65/65,812.17 = 29,812.83/x
  3. Step 3: Cross multiply
    47,699.65x = 65,812.17 × 29,812.83
  4. Step 4: Simplify right side
    47,699.65x = 1,962,047,036.14
  5. Step 5: Solve for x
    x = 1,962,047,036.14/47,699.65
  6. Step 6: Final answer
    x = 41,133.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.