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Finding the Fourth Proportional to 94,142.70, 141,214.05 and 31,812.30

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Solution

The fourth proportional to 94,142.70, 141,214.05 and 31,812.30 is: 47,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,142.70 : 141,214.05 = 31,812.30 : x
  2. Step 2: Convert to fraction form
    94,142.70/141,214.05 = 31,812.30/x
  3. Step 3: Cross multiply
    94,142.70x = 141,214.05 × 31,812.30
  4. Step 4: Simplify right side
    94,142.70x = 4,492,343,722.82
  5. Step 5: Solve for x
    x = 4,492,343,722.82/94,142.70
  6. Step 6: Final answer
    x = 47,718.45

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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.