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Finding the Fourth Proportional to 56,426.88, 77,870.04 and 30,933

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Solution

The fourth proportional to 56,426.88, 77,870.04 and 30,933 is: 42,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,426.88 : 77,870.04 = 30,933 : x
  2. Step 2: Convert to fraction form
    56,426.88/77,870.04 = 30,933/x
  3. Step 3: Cross multiply
    56,426.88x = 77,870.04 × 30,933
  4. Step 4: Simplify right side
    56,426.88x = 2,408,753,947.32
  5. Step 5: Solve for x
    x = 2,408,753,947.32/56,426.88
  6. Step 6: Final answer
    x = 42,688.06

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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.