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Finding the Fourth Proportional to 32,567.16, 44,942.76 and 17,663.16

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Solution

The fourth proportional to 32,567.16, 44,942.76 and 17,663.16 is: 24,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,567.16 : 44,942.76 = 17,663.16 : x
  2. Step 2: Convert to fraction form
    32,567.16/44,942.76 = 17,663.16/x
  3. Step 3: Cross multiply
    32,567.16x = 44,942.76 × 17,663.16
  4. Step 4: Simplify right side
    32,567.16x = 793,831,160.72
  5. Step 5: Solve for x
    x = 793,831,160.72/32,567.16
  6. Step 6: Final answer
    x = 24,375.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.