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Finding the Fourth Proportional to 46,777.44, 64,544.16 and 27,916.32

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Solution

The fourth proportional to 46,777.44, 64,544.16 and 27,916.32 is: 38,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,777.44 : 64,544.16 = 27,916.32 : x
  2. Step 2: Convert to fraction form
    46,777.44/64,544.16 = 27,916.32/x
  3. Step 3: Cross multiply
    46,777.44x = 64,544.16 × 27,916.32
  4. Step 4: Simplify right side
    46,777.44x = 1,801,835,424.69
  5. Step 5: Solve for x
    x = 1,801,835,424.69/46,777.44
  6. Step 6: Final answer
    x = 38,519.33

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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.