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Finding the Fourth Proportional to 32,207.46, 48,312.27 and 9,719.16

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Solution

The fourth proportional to 32,207.46, 48,312.27 and 9,719.16 is: 14,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.46 : 48,312.27 = 9,719.16 : x
  2. Step 2: Convert to fraction form
    32,207.46/48,312.27 = 9,719.16/x
  3. Step 3: Cross multiply
    32,207.46x = 48,312.27 × 9,719.16
  4. Step 4: Simplify right side
    32,207.46x = 469,554,682.09
  5. Step 5: Solve for x
    x = 469,554,682.09/32,207.46
  6. Step 6: Final answer
    x = 14,579.07

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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.