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Finding the Fourth Proportional to 37,686.40, 52,877.60 and 37,686.40

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Solution

The fourth proportional to 37,686.40, 52,877.60 and 37,686.40 is: 52,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,686.40 : 52,877.60 = 37,686.40 : x
  2. Step 2: Convert to fraction form
    37,686.40/52,877.60 = 37,686.40/x
  3. Step 3: Cross multiply
    37,686.40x = 52,877.60 × 37,686.40
  4. Step 4: Simplify right side
    37,686.40x = 1,992,766,384.64
  5. Step 5: Solve for x
    x = 1,992,766,384.64/37,686.40
  6. Step 6: Final answer
    x = 52,877.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.