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Finding the Fourth Proportional to 39,123.06, 53,984.86 and 23,204.40

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Solution

The fourth proportional to 39,123.06, 53,984.86 and 23,204.40 is: 32,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,123.06 : 53,984.86 = 23,204.40 : x
  2. Step 2: Convert to fraction form
    39,123.06/53,984.86 = 23,204.40/x
  3. Step 3: Cross multiply
    39,123.06x = 53,984.86 × 23,204.40
  4. Step 4: Simplify right side
    39,123.06x = 1,252,686,285.38
  5. Step 5: Solve for x
    x = 1,252,686,285.38/39,123.06
  6. Step 6: Final answer
    x = 32,019.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.