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Finding the Fourth Proportional to 56,462.08, 84,716.88 and 28,408

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Solution

The fourth proportional to 56,462.08, 84,716.88 and 28,408 is: 42,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,462.08 : 84,716.88 = 28,408 : x
  2. Step 2: Convert to fraction form
    56,462.08/84,716.88 = 28,408/x
  3. Step 3: Cross multiply
    56,462.08x = 84,716.88 × 28,408
  4. Step 4: Simplify right side
    56,462.08x = 2,406,637,127.04
  5. Step 5: Solve for x
    x = 2,406,637,127.04/56,462.08
  6. Step 6: Final answer
    x = 42,623.95

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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.