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Finding the Fourth Proportional to 51,218.50, 70,681.53 and 27,666.50

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Solution

The fourth proportional to 51,218.50, 70,681.53 and 27,666.50 is: 38,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,218.50 : 70,681.53 = 27,666.50 : x
  2. Step 2: Convert to fraction form
    51,218.50/70,681.53 = 27,666.50/x
  3. Step 3: Cross multiply
    51,218.50x = 70,681.53 × 27,666.50
  4. Step 4: Simplify right side
    51,218.50x = 1,955,510,549.75
  5. Step 5: Solve for x
    x = 1,955,510,549.75/51,218.50
  6. Step 6: Final answer
    x = 38,179.77

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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.