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Finding the Fourth Proportional to 82,889.84, 124,343.52 and 35,509.76

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Solution

The fourth proportional to 82,889.84, 124,343.52 and 35,509.76 is: 53,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,889.84 : 124,343.52 = 35,509.76 : x
  2. Step 2: Convert to fraction form
    82,889.84/124,343.52 = 35,509.76/x
  3. Step 3: Cross multiply
    82,889.84x = 124,343.52 × 35,509.76
  4. Step 4: Simplify right side
    82,889.84x = 4,415,408,552.76
  5. Step 5: Solve for x
    x = 4,415,408,552.76/82,889.84
  6. Step 6: Final answer
    x = 53,268.39

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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.