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Finding the Fourth Proportional to 32,153.56, 48,221 and 9,663.32

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Solution

The fourth proportional to 32,153.56, 48,221 and 9,663.32 is: 14,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.56 : 48,221 = 9,663.32 : x
  2. Step 2: Convert to fraction form
    32,153.56/48,221 = 9,663.32/x
  3. Step 3: Cross multiply
    32,153.56x = 48,221 × 9,663.32
  4. Step 4: Simplify right side
    32,153.56x = 465,974,953.72
  5. Step 5: Solve for x
    x = 465,974,953.72/32,153.56
  6. Step 6: Final answer
    x = 14,492.17

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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.