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Finding the Fourth Proportional to 52,014.34, 71,779.80 and 28,140.94

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Solution

The fourth proportional to 52,014.34, 71,779.80 and 28,140.94 is: 38,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.34 : 71,779.80 = 28,140.94 : x
  2. Step 2: Convert to fraction form
    52,014.34/71,779.80 = 28,140.94/x
  3. Step 3: Cross multiply
    52,014.34x = 71,779.80 × 28,140.94
  4. Step 4: Simplify right side
    52,014.34x = 2,019,951,045.01
  5. Step 5: Solve for x
    x = 2,019,951,045.01/52,014.34
  6. Step 6: Final answer
    x = 38,834.50

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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.