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Finding the Fourth Proportional to 65,357, 98,050.08 and 23,804

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Solution

The fourth proportional to 65,357, 98,050.08 and 23,804 is: 35,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,357 : 98,050.08 = 23,804 : x
  2. Step 2: Convert to fraction form
    65,357/98,050.08 = 23,804/x
  3. Step 3: Cross multiply
    65,357x = 98,050.08 × 23,804
  4. Step 4: Simplify right side
    65,357x = 2,333,984,104.32
  5. Step 5: Solve for x
    x = 2,333,984,104.32/65,357
  6. Step 6: Final answer
    x = 35,711.31

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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.