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Finding the Fourth Proportional to 52,583, 72,570.90 and 29,927.50

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Solution

The fourth proportional to 52,583, 72,570.90 and 29,927.50 is: 41,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,583 : 72,570.90 = 29,927.50 : x
  2. Step 2: Convert to fraction form
    52,583/72,570.90 = 29,927.50/x
  3. Step 3: Cross multiply
    52,583x = 72,570.90 × 29,927.50
  4. Step 4: Simplify right side
    52,583x = 2,171,865,609.75
  5. Step 5: Solve for x
    x = 2,171,865,609.75/52,583
  6. Step 6: Final answer
    x = 41,303.57

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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.