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Finding the Fourth Proportional to 32,975.78, 49,458.47 and 9,285.10

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Solution

The fourth proportional to 32,975.78, 49,458.47 and 9,285.10 is: 13,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,975.78 : 49,458.47 = 9,285.10 : x
  2. Step 2: Convert to fraction form
    32,975.78/49,458.47 = 9,285.10/x
  3. Step 3: Cross multiply
    32,975.78x = 49,458.47 × 9,285.10
  4. Step 4: Simplify right side
    32,975.78x = 459,226,669.73
  5. Step 5: Solve for x
    x = 459,226,669.73/32,975.78
  6. Step 6: Final answer
    x = 13,926.18

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Why These Related Problems?

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