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Finding the Fourth Proportional to 46,477.75, 69,727.56 and 15,313

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Solution

The fourth proportional to 46,477.75, 69,727.56 and 15,313 is: 22,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,477.75 : 69,727.56 = 15,313 : x
  2. Step 2: Convert to fraction form
    46,477.75/69,727.56 = 15,313/x
  3. Step 3: Cross multiply
    46,477.75x = 69,727.56 × 15,313
  4. Step 4: Simplify right side
    46,477.75x = 1,067,738,126.28
  5. Step 5: Solve for x
    x = 1,067,738,126.28/46,477.75
  6. Step 6: Final answer
    x = 22,973.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.