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Finding the Fourth Proportional to 52,506.63, 78,759.81 and 13,063.77

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Solution

The fourth proportional to 52,506.63, 78,759.81 and 13,063.77 is: 19,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506.63 : 78,759.81 = 13,063.77 : x
  2. Step 2: Convert to fraction form
    52,506.63/78,759.81 = 13,063.77/x
  3. Step 3: Cross multiply
    52,506.63x = 78,759.81 × 13,063.77
  4. Step 4: Simplify right side
    52,506.63x = 1,028,900,043.08
  5. Step 5: Solve for x
    x = 1,028,900,043.08/52,506.63
  6. Step 6: Final answer
    x = 19,595.62

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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.