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Finding the Fourth Proportional to 43,521.84, 65,285.76 and 13,532

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Solution

The fourth proportional to 43,521.84, 65,285.76 and 13,532 is: 20,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,521.84 : 65,285.76 = 13,532 : x
  2. Step 2: Convert to fraction form
    43,521.84/65,285.76 = 13,532/x
  3. Step 3: Cross multiply
    43,521.84x = 65,285.76 × 13,532
  4. Step 4: Simplify right side
    43,521.84x = 883,446,904.32
  5. Step 5: Solve for x
    x = 883,446,904.32/43,521.84
  6. Step 6: Final answer
    x = 20,298.93

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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.