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Finding the Fourth Proportional to 72,133.78, 99,541.42 and 40,302.00

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Solution

The fourth proportional to 72,133.78, 99,541.42 and 40,302.00 is: 55,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,133.78 : 99,541.42 = 40,302.00 : x
  2. Step 2: Convert to fraction form
    72,133.78/99,541.42 = 40,302.00/x
  3. Step 3: Cross multiply
    72,133.78x = 99,541.42 × 40,302.00
  4. Step 4: Simplify right side
    72,133.78x = 4,011,717,710.38
  5. Step 5: Solve for x
    x = 4,011,717,710.38/72,133.78
  6. Step 6: Final answer
    x = 55,614.97

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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.