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Finding the Fourth Proportional to 46,207.80, 69,268.02 and 42,099

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Solution

The fourth proportional to 46,207.80, 69,268.02 and 42,099 is: 63,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,207.80 : 69,268.02 = 42,099 : x
  2. Step 2: Convert to fraction form
    46,207.80/69,268.02 = 42,099/x
  3. Step 3: Cross multiply
    46,207.80x = 69,268.02 × 42,099
  4. Step 4: Simplify right side
    46,207.80x = 2,916,114,373.98
  5. Step 5: Solve for x
    x = 2,916,114,373.98/46,207.80
  6. Step 6: Final answer
    x = 63,108.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.