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Finding the Fourth Proportional to 55,837, 77,055.06 and 30,686.50

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Solution

The fourth proportional to 55,837, 77,055.06 and 30,686.50 is: 42,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,837 : 77,055.06 = 30,686.50 : x
  2. Step 2: Convert to fraction form
    55,837/77,055.06 = 30,686.50/x
  3. Step 3: Cross multiply
    55,837x = 77,055.06 × 30,686.50
  4. Step 4: Simplify right side
    55,837x = 2,364,550,098.69
  5. Step 5: Solve for x
    x = 2,364,550,098.69/55,837
  6. Step 6: Final answer
    x = 42,347.37

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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.