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Finding the Fourth Proportional to 51,703.52, 77,541.08 and 14,254.80

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Solution

The fourth proportional to 51,703.52, 77,541.08 and 14,254.80 is: 21,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.52 : 77,541.08 = 14,254.80 : x
  2. Step 2: Convert to fraction form
    51,703.52/77,541.08 = 14,254.80/x
  3. Step 3: Cross multiply
    51,703.52x = 77,541.08 × 14,254.80
  4. Step 4: Simplify right side
    51,703.52x = 1,105,332,587.18
  5. Step 5: Solve for x
    x = 1,105,332,587.18/51,703.52
  6. Step 6: Final answer
    x = 21,378.29

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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.