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Finding the Fourth Proportional to 52,713.42, 72,744.75 and 28,840.50

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Solution

The fourth proportional to 52,713.42, 72,744.75 and 28,840.50 is: 39,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,713.42 : 72,744.75 = 28,840.50 : x
  2. Step 2: Convert to fraction form
    52,713.42/72,744.75 = 28,840.50/x
  3. Step 3: Cross multiply
    52,713.42x = 72,744.75 × 28,840.50
  4. Step 4: Simplify right side
    52,713.42x = 2,097,994,962.38
  5. Step 5: Solve for x
    x = 2,097,994,962.38/52,713.42
  6. Step 6: Final answer
    x = 39,800.02

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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.