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Finding the Fourth Proportional to 29,971.80, 44,957.70 and 24,334.20

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Solution

The fourth proportional to 29,971.80, 44,957.70 and 24,334.20 is: 36,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.80 : 44,957.70 = 24,334.20 : x
  2. Step 2: Convert to fraction form
    29,971.80/44,957.70 = 24,334.20/x
  3. Step 3: Cross multiply
    29,971.80x = 44,957.70 × 24,334.20
  4. Step 4: Simplify right side
    29,971.80x = 1,094,009,663.34
  5. Step 5: Solve for x
    x = 1,094,009,663.34/29,971.80
  6. Step 6: Final answer
    x = 36,501.30

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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.