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Finding the Fourth Proportional to 32,196, 48,263.76 and 11,408.16

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Solution

The fourth proportional to 32,196, 48,263.76 and 11,408.16 is: 17,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196 : 48,263.76 = 11,408.16 : x
  2. Step 2: Convert to fraction form
    32,196/48,263.76 = 11,408.16/x
  3. Step 3: Cross multiply
    32,196x = 48,263.76 × 11,408.16
  4. Step 4: Simplify right side
    32,196x = 550,600,696.28
  5. Step 5: Solve for x
    x = 550,600,696.28/32,196
  6. Step 6: Final answer
    x = 17,101.52

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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.