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Finding the Fourth Proportional to 55,368, 76,408.92 and 33,012

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Solution

The fourth proportional to 55,368, 76,408.92 and 33,012 is: 45,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,368 : 76,408.92 = 33,012 : x
  2. Step 2: Convert to fraction form
    55,368/76,408.92 = 33,012/x
  3. Step 3: Cross multiply
    55,368x = 76,408.92 × 33,012
  4. Step 4: Simplify right side
    55,368x = 2,522,411,267.04
  5. Step 5: Solve for x
    x = 2,522,411,267.04/55,368
  6. Step 6: Final answer
    x = 45,557.20

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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.