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Finding the Fourth Proportional to 35,637, 49,122.41 and 28,071.35

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Solution

The fourth proportional to 35,637, 49,122.41 and 28,071.35 is: 38,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,637 : 49,122.41 = 28,071.35 : x
  2. Step 2: Convert to fraction form
    35,637/49,122.41 = 28,071.35/x
  3. Step 3: Cross multiply
    35,637x = 49,122.41 × 28,071.35
  4. Step 4: Simplify right side
    35,637x = 1,378,931,977.98
  5. Step 5: Solve for x
    x = 1,378,931,977.98/35,637
  6. Step 6: Final answer
    x = 38,693.83

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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.