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Finding the Fourth Proportional to 32,688.64, 49,032 and 10,503.04

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Solution

The fourth proportional to 32,688.64, 49,032 and 10,503.04 is: 15,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688.64 : 49,032 = 10,503.04 : x
  2. Step 2: Convert to fraction form
    32,688.64/49,032 = 10,503.04/x
  3. Step 3: Cross multiply
    32,688.64x = 49,032 × 10,503.04
  4. Step 4: Simplify right side
    32,688.64x = 514,985,057.28
  5. Step 5: Solve for x
    x = 514,985,057.28/32,688.64
  6. Step 6: Final answer
    x = 15,754.25

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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.