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Finding the Fourth Proportional to 94,983.84, 142,428.24 and 31,782.24

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Solution

The fourth proportional to 94,983.84, 142,428.24 and 31,782.24 is: 47,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,983.84 : 142,428.24 = 31,782.24 : x
  2. Step 2: Convert to fraction form
    94,983.84/142,428.24 = 31,782.24/x
  3. Step 3: Cross multiply
    94,983.84x = 142,428.24 × 31,782.24
  4. Step 4: Simplify right side
    94,983.84x = 4,526,688,506.46
  5. Step 5: Solve for x
    x = 4,526,688,506.46/94,983.84
  6. Step 6: Final answer
    x = 47,657.46

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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.