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Finding the Fourth Proportional to 52,538.96, 72,504 and 28,666.13

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Solution

The fourth proportional to 52,538.96, 72,504 and 28,666.13 is: 39,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,538.96 : 72,504 = 28,666.13 : x
  2. Step 2: Convert to fraction form
    52,538.96/72,504 = 28,666.13/x
  3. Step 3: Cross multiply
    52,538.96x = 72,504 × 28,666.13
  4. Step 4: Simplify right side
    52,538.96x = 2,078,409,089.52
  5. Step 5: Solve for x
    x = 2,078,409,089.52/52,538.96
  6. Step 6: Final answer
    x = 39,559.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.