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Finding the Fourth Proportional to 46,657.53, 64,392.01 and 27,543.61

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Solution

The fourth proportional to 46,657.53, 64,392.01 and 27,543.61 is: 38,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,657.53 : 64,392.01 = 27,543.61 : x
  2. Step 2: Convert to fraction form
    46,657.53/64,392.01 = 27,543.61/x
  3. Step 3: Cross multiply
    46,657.53x = 64,392.01 × 27,543.61
  4. Step 4: Simplify right side
    46,657.53x = 1,773,588,410.56
  5. Step 5: Solve for x
    x = 1,773,588,410.56/46,657.53
  6. Step 6: Final answer
    x = 38,012.91

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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.