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Finding the Fourth Proportional to 55,980, 77,254.56 and 30,828.96

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Solution

The fourth proportional to 55,980, 77,254.56 and 30,828.96 is: 42,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,980 : 77,254.56 = 30,828.96 : x
  2. Step 2: Convert to fraction form
    55,980/77,254.56 = 30,828.96/x
  3. Step 3: Cross multiply
    55,980x = 77,254.56 × 30,828.96
  4. Step 4: Simplify right side
    55,980x = 2,381,677,740.06
  5. Step 5: Solve for x
    x = 2,381,677,740.06/55,980
  6. Step 6: Final answer
    x = 42,545.15

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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.