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Finding the Fourth Proportional to 35,223.32, 52,709.16 and 30,597.86

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Solution

The fourth proportional to 35,223.32, 52,709.16 and 30,597.86 is: 45,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,223.32 : 52,709.16 = 30,597.86 : x
  2. Step 2: Convert to fraction form
    35,223.32/52,709.16 = 30,597.86/x
  3. Step 3: Cross multiply
    35,223.32x = 52,709.16 × 30,597.86
  4. Step 4: Simplify right side
    35,223.32x = 1,612,787,498.40
  5. Step 5: Solve for x
    x = 1,612,787,498.40/35,223.32
  6. Step 6: Final answer
    x = 45,787.49

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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.