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Finding the Fourth Proportional to 111,532.83, 167,277.98 and 31,570.14

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Solution

The fourth proportional to 111,532.83, 167,277.98 and 31,570.14 is: 47,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,532.83 : 167,277.98 = 31,570.14 : x
  2. Step 2: Convert to fraction form
    111,532.83/167,277.98 = 31,570.14/x
  3. Step 3: Cross multiply
    111,532.83x = 167,277.98 × 31,570.14
  4. Step 4: Simplify right side
    111,532.83x = 5,280,989,089.67
  5. Step 5: Solve for x
    x = 5,280,989,089.67/111,532.83
  6. Step 6: Final answer
    x = 47,349.19

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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.