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Finding the Fourth Proportional to 55,970.32, 77,238.84 and 30,819.76

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Solution

The fourth proportional to 55,970.32, 77,238.84 and 30,819.76 is: 42,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,970.32 : 77,238.84 = 30,819.76 : x
  2. Step 2: Convert to fraction form
    55,970.32/77,238.84 = 30,819.76/x
  3. Step 3: Cross multiply
    55,970.32x = 77,238.84 × 30,819.76
  4. Step 4: Simplify right side
    55,970.32x = 2,380,482,511.48
  5. Step 5: Solve for x
    x = 2,380,482,511.48/55,970.32
  6. Step 6: Final answer
    x = 42,531.16

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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.