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Finding the Fourth Proportional to 30,731.34, 46,097.01 and 17,574.48

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Solution

The fourth proportional to 30,731.34, 46,097.01 and 17,574.48 is: 26,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.34 : 46,097.01 = 17,574.48 : x
  2. Step 2: Convert to fraction form
    30,731.34/46,097.01 = 17,574.48/x
  3. Step 3: Cross multiply
    30,731.34x = 46,097.01 × 17,574.48
  4. Step 4: Simplify right side
    30,731.34x = 810,130,980.30
  5. Step 5: Solve for x
    x = 810,130,980.30/30,731.34
  6. Step 6: Final answer
    x = 26,361.72

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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.