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Finding the Fourth Proportional to 52,413, 78,604.92 and 17,355.40

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Solution

The fourth proportional to 52,413, 78,604.92 and 17,355.40 is: 26,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,413 : 78,604.92 = 17,355.40 : x
  2. Step 2: Convert to fraction form
    52,413/78,604.92 = 17,355.40/x
  3. Step 3: Cross multiply
    52,413x = 78,604.92 × 17,355.40
  4. Step 4: Simplify right side
    52,413x = 1,364,219,828.57
  5. Step 5: Solve for x
    x = 1,364,219,828.57/52,413
  6. Step 6: Final answer
    x = 26,028.27

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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.