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Finding the Fourth Proportional to 35,419.95, 53,097.12 and 17,869.41

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Solution

The fourth proportional to 35,419.95, 53,097.12 and 17,869.41 is: 26,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,419.95 : 53,097.12 = 17,869.41 : x
  2. Step 2: Convert to fraction form
    35,419.95/53,097.12 = 17,869.41/x
  3. Step 3: Cross multiply
    35,419.95x = 53,097.12 × 17,869.41
  4. Step 4: Simplify right side
    35,419.95x = 948,814,207.10
  5. Step 5: Solve for x
    x = 948,814,207.10/35,419.95
  6. Step 6: Final answer
    x = 26,787.56

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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.