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Finding the Fourth Proportional to 77,220.38, 106,565.90 and 43,228.01

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Solution

The fourth proportional to 77,220.38, 106,565.90 and 43,228.01 is: 59,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,220.38 : 106,565.90 = 43,228.01 : x
  2. Step 2: Convert to fraction form
    77,220.38/106,565.90 = 43,228.01/x
  3. Step 3: Cross multiply
    77,220.38x = 106,565.90 × 43,228.01
  4. Step 4: Simplify right side
    77,220.38x = 4,606,631,041.89
  5. Step 5: Solve for x
    x = 4,606,631,041.89/77,220.38
  6. Step 6: Final answer
    x = 59,655.64

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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.