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Finding the Fourth Proportional to 52,516.04, 78,751.02 and 19,661

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Solution

The fourth proportional to 52,516.04, 78,751.02 and 19,661 is: 29,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,516.04 : 78,751.02 = 19,661 : x
  2. Step 2: Convert to fraction form
    52,516.04/78,751.02 = 19,661/x
  3. Step 3: Cross multiply
    52,516.04x = 78,751.02 × 19,661
  4. Step 4: Simplify right side
    52,516.04x = 1,548,323,804.22
  5. Step 5: Solve for x
    x = 1,548,323,804.22/52,516.04
  6. Step 6: Final answer
    x = 29,482.87

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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.