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Finding the Fourth Proportional to 46,576, 64,279.74 and 26,438.32

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Solution

The fourth proportional to 46,576, 64,279.74 and 26,438.32 is: 36,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,576 : 64,279.74 = 26,438.32 : x
  2. Step 2: Convert to fraction form
    46,576/64,279.74 = 26,438.32/x
  3. Step 3: Cross multiply
    46,576x = 64,279.74 × 26,438.32
  4. Step 4: Simplify right side
    46,576x = 1,699,448,335.64
  5. Step 5: Solve for x
    x = 1,699,448,335.64/46,576
  6. Step 6: Final answer
    x = 36,487.64

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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.