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Finding the Fourth Proportional to 116,995, 175,492.50 and 29,443

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Solution

The fourth proportional to 116,995, 175,492.50 and 29,443 is: 44,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,995 : 175,492.50 = 29,443 : x
  2. Step 2: Convert to fraction form
    116,995/175,492.50 = 29,443/x
  3. Step 3: Cross multiply
    116,995x = 175,492.50 × 29,443
  4. Step 4: Simplify right side
    116,995x = 5,167,025,677.50
  5. Step 5: Solve for x
    x = 5,167,025,677.50/116,995
  6. Step 6: Final answer
    x = 44,164.50

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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.