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Finding the Fourth Proportional to 55,972, 77,234.32 and 37,862.24

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Solution

The fourth proportional to 55,972, 77,234.32 and 37,862.24 is: 52,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,972 : 77,234.32 = 37,862.24 : x
  2. Step 2: Convert to fraction form
    55,972/77,234.32 = 37,862.24/x
  3. Step 3: Cross multiply
    55,972x = 77,234.32 × 37,862.24
  4. Step 4: Simplify right side
    55,972x = 2,924,264,360.08
  5. Step 5: Solve for x
    x = 2,924,264,360.08/55,972
  6. Step 6: Final answer
    x = 52,245.13

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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.