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Finding the Fourth Proportional to 47,236, 65,192.16 and 30,465.76

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Solution

The fourth proportional to 47,236, 65,192.16 and 30,465.76 is: 42,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,236 : 65,192.16 = 30,465.76 : x
  2. Step 2: Convert to fraction form
    47,236/65,192.16 = 30,465.76/x
  3. Step 3: Cross multiply
    47,236x = 65,192.16 × 30,465.76
  4. Step 4: Simplify right side
    47,236x = 1,986,128,700.44
  5. Step 5: Solve for x
    x = 1,986,128,700.44/47,236
  6. Step 6: Final answer
    x = 42,046.93

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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.