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Finding the Fourth Proportional to 103,854.78, 155,782.10 and 24,968.98

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Solution

The fourth proportional to 103,854.78, 155,782.10 and 24,968.98 is: 37,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,854.78 : 155,782.10 = 24,968.98 : x
  2. Step 2: Convert to fraction form
    103,854.78/155,782.10 = 24,968.98/x
  3. Step 3: Cross multiply
    103,854.78x = 155,782.10 × 24,968.98
  4. Step 4: Simplify right side
    103,854.78x = 3,889,720,139.26
  5. Step 5: Solve for x
    x = 3,889,720,139.26/103,854.78
  6. Step 6: Final answer
    x = 37,453.45

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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.