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Finding the Fourth Proportional to 32,962.92, 49,457.04 and 13,247.16

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Solution

The fourth proportional to 32,962.92, 49,457.04 and 13,247.16 is: 19,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.92 : 49,457.04 = 13,247.16 : x
  2. Step 2: Convert to fraction form
    32,962.92/49,457.04 = 13,247.16/x
  3. Step 3: Cross multiply
    32,962.92x = 49,457.04 × 13,247.16
  4. Step 4: Simplify right side
    32,962.92x = 655,165,322.01
  5. Step 5: Solve for x
    x = 655,165,322.01/32,962.92
  6. Step 6: Final answer
    x = 19,875.83

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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.