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Finding the Fourth Proportional to 30,952.16, 46,454.74 and 30,719.18

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Solution

The fourth proportional to 30,952.16, 46,454.74 and 30,719.18 is: 46,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.16 : 46,454.74 = 30,719.18 : x
  2. Step 2: Convert to fraction form
    30,952.16/46,454.74 = 30,719.18/x
  3. Step 3: Cross multiply
    30,952.16x = 46,454.74 × 30,719.18
  4. Step 4: Simplify right side
    30,952.16x = 1,427,051,480.57
  5. Step 5: Solve for x
    x = 1,427,051,480.57/30,952.16
  6. Step 6: Final answer
    x = 46,105.08

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