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Finding the Fourth Proportional to 59,692.23, 82,377.68 and 35,810.19

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Solution

The fourth proportional to 59,692.23, 82,377.68 and 35,810.19 is: 49,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,692.23 : 82,377.68 = 35,810.19 : x
  2. Step 2: Convert to fraction form
    59,692.23/82,377.68 = 35,810.19/x
  3. Step 3: Cross multiply
    59,692.23x = 82,377.68 × 35,810.19
  4. Step 4: Simplify right side
    59,692.23x = 2,949,960,193.51
  5. Step 5: Solve for x
    x = 2,949,960,193.51/59,692.23
  6. Step 6: Final answer
    x = 49,419.50

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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.