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Finding the Fourth Proportional to 45,846, 63,247.43 and 32,428.76

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Solution

The fourth proportional to 45,846, 63,247.43 and 32,428.76 is: 44,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,846 : 63,247.43 = 32,428.76 : x
  2. Step 2: Convert to fraction form
    45,846/63,247.43 = 32,428.76/x
  3. Step 3: Cross multiply
    45,846x = 63,247.43 × 32,428.76
  4. Step 4: Simplify right side
    45,846x = 2,051,035,492.92
  5. Step 5: Solve for x
    x = 2,051,035,492.92/45,846
  6. Step 6: Final answer
    x = 44,737.50

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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.