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Finding the Fourth Proportional to 100,784.96, 151,066.88 and 41,590.08

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Solution

The fourth proportional to 100,784.96, 151,066.88 and 41,590.08 is: 62,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,784.96 : 151,066.88 = 41,590.08 : x
  2. Step 2: Convert to fraction form
    100,784.96/151,066.88 = 41,590.08/x
  3. Step 3: Cross multiply
    100,784.96x = 151,066.88 × 41,590.08
  4. Step 4: Simplify right side
    100,784.96x = 6,282,883,624.55
  5. Step 5: Solve for x
    x = 6,282,883,624.55/100,784.96
  6. Step 6: Final answer
    x = 62,339.50

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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.