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Finding the Fourth Proportional to 29,585.96, 40,828.35 and 16,157.17

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Solution

The fourth proportional to 29,585.96, 40,828.35 and 16,157.17 is: 22,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,585.96 : 40,828.35 = 16,157.17 : x
  2. Step 2: Convert to fraction form
    29,585.96/40,828.35 = 16,157.17/x
  3. Step 3: Cross multiply
    29,585.96x = 40,828.35 × 16,157.17
  4. Step 4: Simplify right side
    29,585.96x = 659,670,612.51
  5. Step 5: Solve for x
    x = 659,670,612.51/29,585.96
  6. Step 6: Final answer
    x = 22,296.75

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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.