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Finding the Fourth Proportional to 46,840.52, 64,626.90 and 27,970.76

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Solution

The fourth proportional to 46,840.52, 64,626.90 and 27,970.76 is: 38,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,840.52 : 64,626.90 = 27,970.76 : x
  2. Step 2: Convert to fraction form
    46,840.52/64,626.90 = 27,970.76/x
  3. Step 3: Cross multiply
    46,840.52x = 64,626.90 × 27,970.76
  4. Step 4: Simplify right side
    46,840.52x = 1,807,663,509.44
  5. Step 5: Solve for x
    x = 1,807,663,509.44/46,840.52
  6. Step 6: Final answer
    x = 38,591.88

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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.