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Finding the Fourth Proportional to 50,841.04, 70,158.32 and 28,180

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Solution

The fourth proportional to 50,841.04, 70,158.32 and 28,180 is: 38,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,841.04 : 70,158.32 = 28,180 : x
  2. Step 2: Convert to fraction form
    50,841.04/70,158.32 = 28,180/x
  3. Step 3: Cross multiply
    50,841.04x = 70,158.32 × 28,180
  4. Step 4: Simplify right side
    50,841.04x = 1,977,061,457.60
  5. Step 5: Solve for x
    x = 1,977,061,457.60/50,841.04
  6. Step 6: Final answer
    x = 38,887.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.