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Finding the Fourth Proportional to 55,982, 77,257.32 and 30,830.96

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Solution

The fourth proportional to 55,982, 77,257.32 and 30,830.96 is: 42,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,982 : 77,257.32 = 30,830.96 : x
  2. Step 2: Convert to fraction form
    55,982/77,257.32 = 30,830.96/x
  3. Step 3: Cross multiply
    55,982x = 77,257.32 × 30,830.96
  4. Step 4: Simplify right side
    55,982x = 2,381,917,342.63
  5. Step 5: Solve for x
    x = 2,381,917,342.63/55,982
  6. Step 6: Final answer
    x = 42,547.91

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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.