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Finding the Fourth Proportional to 31,299.76, 46,949.66 and 7,607.32

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Solution

The fourth proportional to 31,299.76, 46,949.66 and 7,607.32 is: 11,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.76 : 46,949.66 = 7,607.32 : x
  2. Step 2: Convert to fraction form
    31,299.76/46,949.66 = 7,607.32/x
  3. Step 3: Cross multiply
    31,299.76x = 46,949.66 × 7,607.32
  4. Step 4: Simplify right side
    31,299.76x = 357,161,087.51
  5. Step 5: Solve for x
    x = 357,161,087.51/31,299.76
  6. Step 6: Final answer
    x = 11,410.98

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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.