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Finding the Fourth Proportional to 31,952.48, 47,935.74 and 9,767.58

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Solution

The fourth proportional to 31,952.48, 47,935.74 and 9,767.58 is: 14,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.48 : 47,935.74 = 9,767.58 : x
  2. Step 2: Convert to fraction form
    31,952.48/47,935.74 = 9,767.58/x
  3. Step 3: Cross multiply
    31,952.48x = 47,935.74 × 9,767.58
  4. Step 4: Simplify right side
    31,952.48x = 468,216,175.31
  5. Step 5: Solve for x
    x = 468,216,175.31/31,952.48
  6. Step 6: Final answer
    x = 14,653.52

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1.5x scale

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.