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Finding the Fourth Proportional to 102,448.72, 153,673.08 and 32,333.50

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Solution

The fourth proportional to 102,448.72, 153,673.08 and 32,333.50 is: 48,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,448.72 : 153,673.08 = 32,333.50 : x
  2. Step 2: Convert to fraction form
    102,448.72/153,673.08 = 32,333.50/x
  3. Step 3: Cross multiply
    102,448.72x = 153,673.08 × 32,333.50
  4. Step 4: Simplify right side
    102,448.72x = 4,968,788,532.18
  5. Step 5: Solve for x
    x = 4,968,788,532.18/102,448.72
  6. Step 6: Final answer
    x = 48,500.25

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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.