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Finding the Fourth Proportional to 31,041.14, 46,561.14 and 7,667.60

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Solution

The fourth proportional to 31,041.14, 46,561.14 and 7,667.60 is: 11,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.14 : 46,561.14 = 7,667.60 : x
  2. Step 2: Convert to fraction form
    31,041.14/46,561.14 = 7,667.60/x
  3. Step 3: Cross multiply
    31,041.14x = 46,561.14 × 7,667.60
  4. Step 4: Simplify right side
    31,041.14x = 357,012,197.06
  5. Step 5: Solve for x
    x = 357,012,197.06/31,041.14
  6. Step 6: Final answer
    x = 11,501.26

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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.