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Finding the Fourth Proportional to 32,956.76, 49,440.10 and 9,580.16

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Solution

The fourth proportional to 32,956.76, 49,440.10 and 9,580.16 is: 14,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956.76 : 49,440.10 = 9,580.16 : x
  2. Step 2: Convert to fraction form
    32,956.76/49,440.10 = 9,580.16/x
  3. Step 3: Cross multiply
    32,956.76x = 49,440.10 × 9,580.16
  4. Step 4: Simplify right side
    32,956.76x = 473,644,068.42
  5. Step 5: Solve for x
    x = 473,644,068.42/32,956.76
  6. Step 6: Final answer
    x = 14,371.68

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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.