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Finding the Fourth Proportional to 71,114.10, 106,670.48 and 28,984.29

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Solution

The fourth proportional to 71,114.10, 106,670.48 and 28,984.29 is: 43,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,114.10 : 106,670.48 = 28,984.29 : x
  2. Step 2: Convert to fraction form
    71,114.10/106,670.48 = 28,984.29/x
  3. Step 3: Cross multiply
    71,114.10x = 106,670.48 × 28,984.29
  4. Step 4: Simplify right side
    71,114.10x = 3,091,767,981.84
  5. Step 5: Solve for x
    x = 3,091,767,981.84/71,114.10
  6. Step 6: Final answer
    x = 43,476.16

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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.