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Finding the Fourth Proportional to 82,718.40, 124,075.68 and 26,558.40

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Solution

The fourth proportional to 82,718.40, 124,075.68 and 26,558.40 is: 39,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718.40 : 124,075.68 = 26,558.40 : x
  2. Step 2: Convert to fraction form
    82,718.40/124,075.68 = 26,558.40/x
  3. Step 3: Cross multiply
    82,718.40x = 124,075.68 × 26,558.40
  4. Step 4: Simplify right side
    82,718.40x = 3,295,251,539.71
  5. Step 5: Solve for x
    x = 3,295,251,539.71/82,718.40
  6. Step 6: Final answer
    x = 39,836.98

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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.