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Finding the Fourth Proportional to 35,101.60, 52,767.60 and 24,784.80

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Solution

The fourth proportional to 35,101.60, 52,767.60 and 24,784.80 is: 37,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,101.60 : 52,767.60 = 24,784.80 : x
  2. Step 2: Convert to fraction form
    35,101.60/52,767.60 = 24,784.80/x
  3. Step 3: Cross multiply
    35,101.60x = 52,767.60 × 24,784.80
  4. Step 4: Simplify right side
    35,101.60x = 1,307,834,412.48
  5. Step 5: Solve for x
    x = 1,307,834,412.48/35,101.60
  6. Step 6: Final answer
    x = 37,258.54

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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.