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Finding the Fourth Proportional to 69,089.50, 103,683.48 and 29,657.90

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Solution

The fourth proportional to 69,089.50, 103,683.48 and 29,657.90 is: 44,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,089.50 : 103,683.48 = 29,657.90 : x
  2. Step 2: Convert to fraction form
    69,089.50/103,683.48 = 29,657.90/x
  3. Step 3: Cross multiply
    69,089.50x = 103,683.48 × 29,657.90
  4. Step 4: Simplify right side
    69,089.50x = 3,075,034,281.49
  5. Step 5: Solve for x
    x = 3,075,034,281.49/69,089.50
  6. Step 6: Final answer
    x = 44,507.98

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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.