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Finding the Fourth Proportional to 69,190.40, 103,774.16 and 24,810.40

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Solution

The fourth proportional to 69,190.40, 103,774.16 and 24,810.40 is: 37,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,190.40 : 103,774.16 = 24,810.40 : x
  2. Step 2: Convert to fraction form
    69,190.40/103,774.16 = 24,810.40/x
  3. Step 3: Cross multiply
    69,190.40x = 103,774.16 × 24,810.40
  4. Step 4: Simplify right side
    69,190.40x = 2,574,678,419.26
  5. Step 5: Solve for x
    x = 2,574,678,419.26/69,190.40
  6. Step 6: Final answer
    x = 37,211.50

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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.