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Finding the Fourth Proportional to 37,957.20, 56,935.80 and 14,584.20

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Solution

The fourth proportional to 37,957.20, 56,935.80 and 14,584.20 is: 21,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,957.20 : 56,935.80 = 14,584.20 : x
  2. Step 2: Convert to fraction form
    37,957.20/56,935.80 = 14,584.20/x
  3. Step 3: Cross multiply
    37,957.20x = 56,935.80 × 14,584.20
  4. Step 4: Simplify right side
    37,957.20x = 830,363,094.36
  5. Step 5: Solve for x
    x = 830,363,094.36/37,957.20
  6. Step 6: Final answer
    x = 21,876.30

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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.