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Finding the Fourth Proportional to 97,713.80, 146,570.70 and 23,841.80

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Solution

The fourth proportional to 97,713.80, 146,570.70 and 23,841.80 is: 35,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,713.80 : 146,570.70 = 23,841.80 : x
  2. Step 2: Convert to fraction form
    97,713.80/146,570.70 = 23,841.80/x
  3. Step 3: Cross multiply
    97,713.80x = 146,570.70 × 23,841.80
  4. Step 4: Simplify right side
    97,713.80x = 3,494,509,315.26
  5. Step 5: Solve for x
    x = 3,494,509,315.26/97,713.80
  6. Step 6: Final answer
    x = 35,762.70

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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.