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Finding the Fourth Proportional to 32,903.64, 49,355 and 7,943.48

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Solution

The fourth proportional to 32,903.64, 49,355 and 7,943.48 is: 11,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,903.64 : 49,355 = 7,943.48 : x
  2. Step 2: Convert to fraction form
    32,903.64/49,355 = 7,943.48/x
  3. Step 3: Cross multiply
    32,903.64x = 49,355 × 7,943.48
  4. Step 4: Simplify right side
    32,903.64x = 392,050,455.40
  5. Step 5: Solve for x
    x = 392,050,455.40/32,903.64
  6. Step 6: Final answer
    x = 11,915.11

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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.