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Finding the Fourth Proportional to 77,357.13, 106,752.83 and 43,823.13

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Solution

The fourth proportional to 77,357.13, 106,752.83 and 43,823.13 is: 60,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357.13 : 106,752.83 = 43,823.13 : x
  2. Step 2: Convert to fraction form
    77,357.13/106,752.83 = 43,823.13/x
  3. Step 3: Cross multiply
    77,357.13x = 106,752.83 × 43,823.13
  4. Step 4: Simplify right side
    77,357.13x = 4,678,243,146.96
  5. Step 5: Solve for x
    x = 4,678,243,146.96/77,357.13
  6. Step 6: Final answer
    x = 60,475.91

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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.