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Finding the Fourth Proportional to 69,075.96, 103,580.94 and 31,624.76

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Solution

The fourth proportional to 69,075.96, 103,580.94 and 31,624.76 is: 47,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,075.96 : 103,580.94 = 31,624.76 : x
  2. Step 2: Convert to fraction form
    69,075.96/103,580.94 = 31,624.76/x
  3. Step 3: Cross multiply
    69,075.96x = 103,580.94 × 31,624.76
  4. Step 4: Simplify right side
    69,075.96x = 3,275,722,368.07
  5. Step 5: Solve for x
    x = 3,275,722,368.07/69,075.96
  6. Step 6: Final answer
    x = 47,422.03

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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.