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Finding the Fourth Proportional to 43,807.32, 65,721.36 and 14,225.16

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Solution

The fourth proportional to 43,807.32, 65,721.36 and 14,225.16 is: 21,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807.32 : 65,721.36 = 14,225.16 : x
  2. Step 2: Convert to fraction form
    43,807.32/65,721.36 = 14,225.16/x
  3. Step 3: Cross multiply
    43,807.32x = 65,721.36 × 14,225.16
  4. Step 4: Simplify right side
    43,807.32x = 934,896,861.42
  5. Step 5: Solve for x
    x = 934,896,861.42/43,807.32
  6. Step 6: Final answer
    x = 21,341.11

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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.