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Finding the Fourth Proportional to 61,031, 84,224.34 and 34,179.18

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Solution

The fourth proportional to 61,031, 84,224.34 and 34,179.18 is: 47,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,031 : 84,224.34 = 34,179.18 : x
  2. Step 2: Convert to fraction form
    61,031/84,224.34 = 34,179.18/x
  3. Step 3: Cross multiply
    61,031x = 84,224.34 × 34,179.18
  4. Step 4: Simplify right side
    61,031x = 2,878,718,877.24
  5. Step 5: Solve for x
    x = 2,878,718,877.24/61,031
  6. Step 6: Final answer
    x = 47,168.14

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1.5x scale

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.