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Finding the Fourth Proportional to 32,984, 49,483.68 and 11,096

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Solution

The fourth proportional to 32,984, 49,483.68 and 11,096 is: 16,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984 : 49,483.68 = 11,096 : x
  2. Step 2: Convert to fraction form
    32,984/49,483.68 = 11,096/x
  3. Step 3: Cross multiply
    32,984x = 49,483.68 × 11,096
  4. Step 4: Simplify right side
    32,984x = 549,070,913.28
  5. Step 5: Solve for x
    x = 549,070,913.28/32,984
  6. Step 6: Final answer
    x = 16,646.58

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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.