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Finding the Fourth Proportional to 52,306, 72,081.48 and 33,410.32

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Solution

The fourth proportional to 52,306, 72,081.48 and 33,410.32 is: 46,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,306 : 72,081.48 = 33,410.32 : x
  2. Step 2: Convert to fraction form
    52,306/72,081.48 = 33,410.32/x
  3. Step 3: Cross multiply
    52,306x = 72,081.48 × 33,410.32
  4. Step 4: Simplify right side
    52,306x = 2,408,265,312.87
  5. Step 5: Solve for x
    x = 2,408,265,312.87/52,306
  6. Step 6: Final answer
    x = 46,041.86

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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.