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Finding the Fourth Proportional to 31,066.74, 46,607.50 and 10,008.77

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Solution

The fourth proportional to 31,066.74, 46,607.50 and 10,008.77 is: 15,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.74 : 46,607.50 = 10,008.77 : x
  2. Step 2: Convert to fraction form
    31,066.74/46,607.50 = 10,008.77/x
  3. Step 3: Cross multiply
    31,066.74x = 46,607.50 × 10,008.77
  4. Step 4: Simplify right side
    31,066.74x = 466,483,527.25
  5. Step 5: Solve for x
    x = 466,483,527.25/31,066.74
  6. Step 6: Final answer
    x = 15,015.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.