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Finding the Fourth Proportional to 37,700, 52,026.68 and 20,705.84

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Solution

The fourth proportional to 37,700, 52,026.68 and 20,705.84 is: 28,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,700 : 52,026.68 = 20,705.84 : x
  2. Step 2: Convert to fraction form
    37,700/52,026.68 = 20,705.84/x
  3. Step 3: Cross multiply
    37,700x = 52,026.68 × 20,705.84
  4. Step 4: Simplify right side
    37,700x = 1,077,256,111.81
  5. Step 5: Solve for x
    x = 1,077,256,111.81/37,700
  6. Step 6: Final answer
    x = 28,574.43

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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.