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Finding the Fourth Proportional to 37,712.38, 52,041.64 and 20,946.46

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Solution

The fourth proportional to 37,712.38, 52,041.64 and 20,946.46 is: 28,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,712.38 : 52,041.64 = 20,946.46 : x
  2. Step 2: Convert to fraction form
    37,712.38/52,041.64 = 20,946.46/x
  3. Step 3: Cross multiply
    37,712.38x = 52,041.64 × 20,946.46
  4. Step 4: Simplify right side
    37,712.38x = 1,090,088,130.59
  5. Step 5: Solve for x
    x = 1,090,088,130.59/37,712.38
  6. Step 6: Final answer
    x = 28,905.31

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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.