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Finding the Fourth Proportional to 59,829.64, 89,639.10 and 53,313.80

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Solution

The fourth proportional to 59,829.64, 89,639.10 and 53,313.80 is: 79,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,829.64 : 89,639.10 = 53,313.80 : x
  2. Step 2: Convert to fraction form
    59,829.64/89,639.10 = 53,313.80/x
  3. Step 3: Cross multiply
    59,829.64x = 89,639.10 × 53,313.80
  4. Step 4: Simplify right side
    59,829.64x = 4,779,001,049.58
  5. Step 5: Solve for x
    x = 4,779,001,049.58/59,829.64
  6. Step 6: Final answer
    x = 79,876.81

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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.