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Finding the Fourth Proportional to 31,741.95, 47,597.54 and 9,551.19

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Solution

The fourth proportional to 31,741.95, 47,597.54 and 9,551.19 is: 14,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,741.95 : 47,597.54 = 9,551.19 : x
  2. Step 2: Convert to fraction form
    31,741.95/47,597.54 = 9,551.19/x
  3. Step 3: Cross multiply
    31,741.95x = 47,597.54 × 9,551.19
  4. Step 4: Simplify right side
    31,741.95x = 454,613,100.32
  5. Step 5: Solve for x
    x = 454,613,100.32/31,741.95
  6. Step 6: Final answer
    x = 14,322.15

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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.