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Finding the Fourth Proportional to 69,984.61, 105,017.57 and 29,455.14

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Solution

The fourth proportional to 69,984.61, 105,017.57 and 29,455.14 is: 44,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,984.61 : 105,017.57 = 29,455.14 : x
  2. Step 2: Convert to fraction form
    69,984.61/105,017.57 = 29,455.14/x
  3. Step 3: Cross multiply
    69,984.61x = 105,017.57 × 29,455.14
  4. Step 4: Simplify right side
    69,984.61x = 3,093,307,226.81
  5. Step 5: Solve for x
    x = 3,093,307,226.81/69,984.61
  6. Step 6: Final answer
    x = 44,199.82

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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.