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Finding the Fourth Proportional to 56,081.60, 77,392.72 and 30,588

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Solution

The fourth proportional to 56,081.60, 77,392.72 and 30,588 is: 42,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,081.60 : 77,392.72 = 30,588 : x
  2. Step 2: Convert to fraction form
    56,081.60/77,392.72 = 30,588/x
  3. Step 3: Cross multiply
    56,081.60x = 77,392.72 × 30,588
  4. Step 4: Simplify right side
    56,081.60x = 2,367,288,519.36
  5. Step 5: Solve for x
    x = 2,367,288,519.36/56,081.60
  6. Step 6: Final answer
    x = 42,211.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.