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Finding the Fourth Proportional to 46,441.58, 64,094.85 and 27,578.70

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Solution

The fourth proportional to 46,441.58, 64,094.85 and 27,578.70 is: 38,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,441.58 : 64,094.85 = 27,578.70 : x
  2. Step 2: Convert to fraction form
    46,441.58/64,094.85 = 27,578.70/x
  3. Step 3: Cross multiply
    46,441.58x = 64,094.85 × 27,578.70
  4. Step 4: Simplify right side
    46,441.58x = 1,767,652,639.70
  5. Step 5: Solve for x
    x = 1,767,652,639.70/46,441.58
  6. Step 6: Final answer
    x = 38,061.85

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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.