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Finding the Fourth Proportional to 32,895, 49,337.06 and 11,830.77

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Solution

The fourth proportional to 32,895, 49,337.06 and 11,830.77 is: 17,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,895 : 49,337.06 = 11,830.77 : x
  2. Step 2: Convert to fraction form
    32,895/49,337.06 = 11,830.77/x
  3. Step 3: Cross multiply
    32,895x = 49,337.06 × 11,830.77
  4. Step 4: Simplify right side
    32,895x = 583,695,350.18
  5. Step 5: Solve for x
    x = 583,695,350.18/32,895
  6. Step 6: Final answer
    x = 17,744.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.