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Finding the Fourth Proportional to 128,381.76, 192,590.40 and 39,642.24

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Solution

The fourth proportional to 128,381.76, 192,590.40 and 39,642.24 is: 59,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,381.76 : 192,590.40 = 39,642.24 : x
  2. Step 2: Convert to fraction form
    128,381.76/192,590.40 = 39,642.24/x
  3. Step 3: Cross multiply
    128,381.76x = 192,590.40 × 39,642.24
  4. Step 4: Simplify right side
    128,381.76x = 7,634,714,858.50
  5. Step 5: Solve for x
    x = 7,634,714,858.50/128,381.76
  6. Step 6: Final answer
    x = 59,468.84

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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.