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Finding the Fourth Proportional to 61,808.84, 92,658.24 and 22,357.16

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Solution

The fourth proportional to 61,808.84, 92,658.24 and 22,357.16 is: 33,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,808.84 : 92,658.24 = 22,357.16 : x
  2. Step 2: Convert to fraction form
    61,808.84/92,658.24 = 22,357.16/x
  3. Step 3: Cross multiply
    61,808.84x = 92,658.24 × 22,357.16
  4. Step 4: Simplify right side
    61,808.84x = 2,071,574,633.71
  5. Step 5: Solve for x
    x = 2,071,574,633.71/61,808.84
  6. Step 6: Final answer
    x = 33,515.83

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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.