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Finding the Fourth Proportional to 35,637.43, 53,468.02 and 11,947.32

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Solution

The fourth proportional to 35,637.43, 53,468.02 and 11,947.32 is: 17,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,637.43 : 53,468.02 = 11,947.32 : x
  2. Step 2: Convert to fraction form
    35,637.43/53,468.02 = 11,947.32/x
  3. Step 3: Cross multiply
    35,637.43x = 53,468.02 × 11,947.32
  4. Step 4: Simplify right side
    35,637.43x = 638,799,217.63
  5. Step 5: Solve for x
    x = 638,799,217.63/35,637.43
  6. Step 6: Final answer
    x = 17,924.95

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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.