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Finding the Fourth Proportional to 46,405.88, 64,056.71 and 27,543

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Solution

The fourth proportional to 46,405.88, 64,056.71 and 27,543 is: 38,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,405.88 : 64,056.71 = 27,543 : x
  2. Step 2: Convert to fraction form
    46,405.88/64,056.71 = 27,543/x
  3. Step 3: Cross multiply
    46,405.88x = 64,056.71 × 27,543
  4. Step 4: Simplify right side
    46,405.88x = 1,764,313,963.53
  5. Step 5: Solve for x
    x = 1,764,313,963.53/46,405.88
  6. Step 6: Final answer
    x = 38,019.19

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1.5x scale

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.