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Finding the Fourth Proportional to 35,141.40, 48,495.49 and 19,225.50

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Solution

The fourth proportional to 35,141.40, 48,495.49 and 19,225.50 is: 26,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,141.40 : 48,495.49 = 19,225.50 : x
  2. Step 2: Convert to fraction form
    35,141.40/48,495.49 = 19,225.50/x
  3. Step 3: Cross multiply
    35,141.40x = 48,495.49 × 19,225.50
  4. Step 4: Simplify right side
    35,141.40x = 932,350,043.00
  5. Step 5: Solve for x
    x = 932,350,043.00/35,141.40
  6. Step 6: Final answer
    x = 26,531.39

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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.