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Finding the Fourth Proportional to 52,570.53, 72,546.84 and 32,419.35

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Solution

The fourth proportional to 52,570.53, 72,546.84 and 32,419.35 is: 44,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570.53 : 72,546.84 = 32,419.35 : x
  2. Step 2: Convert to fraction form
    52,570.53/72,546.84 = 32,419.35/x
  3. Step 3: Cross multiply
    52,570.53x = 72,546.84 × 32,419.35
  4. Step 4: Simplify right side
    52,570.53x = 2,351,921,397.35
  5. Step 5: Solve for x
    x = 2,351,921,397.35/52,570.53
  6. Step 6: Final answer
    x = 44,738.40

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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.