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Finding the Fourth Proportional to 77,412.51, 106,833.49 and 43,431.76

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Solution

The fourth proportional to 77,412.51, 106,833.49 and 43,431.76 is: 59,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,412.51 : 106,833.49 = 43,431.76 : x
  2. Step 2: Convert to fraction form
    77,412.51/106,833.49 = 43,431.76/x
  3. Step 3: Cross multiply
    77,412.51x = 106,833.49 × 43,431.76
  4. Step 4: Simplify right side
    77,412.51x = 4,639,966,497.64
  5. Step 5: Solve for x
    x = 4,639,966,497.64/77,412.51
  6. Step 6: Final answer
    x = 59,938.20

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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.