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Finding the Fourth Proportional to 56,503.32, 77,977.03 and 33,846

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Solution

The fourth proportional to 56,503.32, 77,977.03 and 33,846 is: 46,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,503.32 : 77,977.03 = 33,846 : x
  2. Step 2: Convert to fraction form
    56,503.32/77,977.03 = 33,846/x
  3. Step 3: Cross multiply
    56,503.32x = 77,977.03 × 33,846
  4. Step 4: Simplify right side
    56,503.32x = 2,639,210,557.38
  5. Step 5: Solve for x
    x = 2,639,210,557.38/56,503.32
  6. Step 6: Final answer
    x = 46,708.95

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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.