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Finding the Fourth Proportional to 32,858.09, 49,288.01 and 9,484.50

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Solution

The fourth proportional to 32,858.09, 49,288.01 and 9,484.50 is: 14,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,858.09 : 49,288.01 = 9,484.50 : x
  2. Step 2: Convert to fraction form
    32,858.09/49,288.01 = 9,484.50/x
  3. Step 3: Cross multiply
    32,858.09x = 49,288.01 × 9,484.50
  4. Step 4: Simplify right side
    32,858.09x = 467,472,083.42
  5. Step 5: Solve for x
    x = 467,472,083.42/32,858.09
  6. Step 6: Final answer
    x = 14,227.00

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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.