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Finding the Fourth Proportional to 47,194.92, 65,123.19 and 28,075.14

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Solution

The fourth proportional to 47,194.92, 65,123.19 and 28,075.14 is: 38,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,194.92 : 65,123.19 = 28,075.14 : x
  2. Step 2: Convert to fraction form
    47,194.92/65,123.19 = 28,075.14/x
  3. Step 3: Cross multiply
    47,194.92x = 65,123.19 × 28,075.14
  4. Step 4: Simplify right side
    47,194.92x = 1,828,342,676.50
  5. Step 5: Solve for x
    x = 1,828,342,676.50/47,194.92
  6. Step 6: Final answer
    x = 38,740.24

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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.