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Finding the Fourth Proportional to 114,534.38, 171,830.82 and 35,649.20

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Solution

The fourth proportional to 114,534.38, 171,830.82 and 35,649.20 is: 53,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,534.38 : 171,830.82 = 35,649.20 : x
  2. Step 2: Convert to fraction form
    114,534.38/171,830.82 = 35,649.20/x
  3. Step 3: Cross multiply
    114,534.38x = 171,830.82 × 35,649.20
  4. Step 4: Simplify right side
    114,534.38x = 6,125,631,268.34
  5. Step 5: Solve for x
    x = 6,125,631,268.34/114,534.38
  6. Step 6: Final answer
    x = 53,482.90

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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.