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Finding the Fourth Proportional to 35,140.90, 48,494.80 and 19,225

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Solution

The fourth proportional to 35,140.90, 48,494.80 and 19,225 is: 26,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,140.90 : 48,494.80 = 19,225 : x
  2. Step 2: Convert to fraction form
    35,140.90/48,494.80 = 19,225/x
  3. Step 3: Cross multiply
    35,140.90x = 48,494.80 × 19,225
  4. Step 4: Simplify right side
    35,140.90x = 932,312,530
  5. Step 5: Solve for x
    x = 932,312,530/35,140.90
  6. Step 6: Final answer
    x = 26,530.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.