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Finding the Fourth Proportional to 101,742.38, 140,411.68 and 56,424.70

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Solution

The fourth proportional to 101,742.38, 140,411.68 and 56,424.70 is: 77,870.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.38 : 140,411.68 = 56,424.70 : x
  2. Step 2: Convert to fraction form
    101,742.38/140,411.68 = 56,424.70/x
  3. Step 3: Cross multiply
    101,742.38x = 140,411.68 × 56,424.70
  4. Step 4: Simplify right side
    101,742.38x = 7,922,686,638.37
  5. Step 5: Solve for x
    x = 7,922,686,638.37/101,742.38
  6. Step 6: Final answer
    x = 77,870.07

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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.