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Finding the Fourth Proportional to 31,059, 46,595.79 and 10,282.50

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Solution

The fourth proportional to 31,059, 46,595.79 and 10,282.50 is: 15,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059 : 46,595.79 = 10,282.50 : x
  2. Step 2: Convert to fraction form
    31,059/46,595.79 = 10,282.50/x
  3. Step 3: Cross multiply
    31,059x = 46,595.79 × 10,282.50
  4. Step 4: Simplify right side
    31,059x = 479,121,210.68
  5. Step 5: Solve for x
    x = 479,121,210.68/31,059
  6. Step 6: Final answer
    x = 15,426.16

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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.