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Finding the Fourth Proportional to 102,404.01, 153,613.71 and 32,281.50

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Solution

The fourth proportional to 102,404.01, 153,613.71 and 32,281.50 is: 48,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,404.01 : 153,613.71 = 32,281.50 : x
  2. Step 2: Convert to fraction form
    102,404.01/153,613.71 = 32,281.50/x
  3. Step 3: Cross multiply
    102,404.01x = 153,613.71 × 32,281.50
  4. Step 4: Simplify right side
    102,404.01x = 4,958,880,979.37
  5. Step 5: Solve for x
    x = 4,958,880,979.37/102,404.01
  6. Step 6: Final answer
    x = 48,424.68

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