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Finding the Fourth Proportional to 32,233, 48,349.50 and 11,457.32

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Solution

The fourth proportional to 32,233, 48,349.50 and 11,457.32 is: 17,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233 : 48,349.50 = 11,457.32 : x
  2. Step 2: Convert to fraction form
    32,233/48,349.50 = 11,457.32/x
  3. Step 3: Cross multiply
    32,233x = 48,349.50 × 11,457.32
  4. Step 4: Simplify right side
    32,233x = 553,955,693.34
  5. Step 5: Solve for x
    x = 553,955,693.34/32,233
  6. Step 6: Final answer
    x = 17,185.98

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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.