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Finding the Fourth Proportional to 30,742.44, 46,113.45 and 17,585.47

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Solution

The fourth proportional to 30,742.44, 46,113.45 and 17,585.47 is: 26,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.44 : 46,113.45 = 17,585.47 : x
  2. Step 2: Convert to fraction form
    30,742.44/46,113.45 = 17,585.47/x
  3. Step 3: Cross multiply
    30,742.44x = 46,113.45 × 17,585.47
  4. Step 4: Simplify right side
    30,742.44x = 810,926,691.57
  5. Step 5: Solve for x
    x = 810,926,691.57/30,742.44
  6. Step 6: Final answer
    x = 26,378.08

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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.