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Finding the Fourth Proportional to 37,876.80, 56,750.40 and 24,009.60

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Solution

The fourth proportional to 37,876.80, 56,750.40 and 24,009.60 is: 35,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,876.80 : 56,750.40 = 24,009.60 : x
  2. Step 2: Convert to fraction form
    37,876.80/56,750.40 = 24,009.60/x
  3. Step 3: Cross multiply
    37,876.80x = 56,750.40 × 24,009.60
  4. Step 4: Simplify right side
    37,876.80x = 1,362,554,403.84
  5. Step 5: Solve for x
    x = 1,362,554,403.84/37,876.80
  6. Step 6: Final answer
    x = 35,973.32

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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.