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Finding the Fourth Proportional to 32,857.76, 49,293.94 and 9,482.38

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Solution

The fourth proportional to 32,857.76, 49,293.94 and 9,482.38 is: 14,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.76 : 49,293.94 = 9,482.38 : x
  2. Step 2: Convert to fraction form
    32,857.76/49,293.94 = 9,482.38/x
  3. Step 3: Cross multiply
    32,857.76x = 49,293.94 × 9,482.38
  4. Step 4: Simplify right side
    32,857.76x = 467,423,870.78
  5. Step 5: Solve for x
    x = 467,423,870.78/32,857.76
  6. Step 6: Final answer
    x = 14,225.68

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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.