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Finding the Fourth Proportional to 52,607.40, 78,882.30 and 21,407.40

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Solution

The fourth proportional to 52,607.40, 78,882.30 and 21,407.40 is: 32,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,607.40 : 78,882.30 = 21,407.40 : x
  2. Step 2: Convert to fraction form
    52,607.40/78,882.30 = 21,407.40/x
  3. Step 3: Cross multiply
    52,607.40x = 78,882.30 × 21,407.40
  4. Step 4: Simplify right side
    52,607.40x = 1,688,664,949.02
  5. Step 5: Solve for x
    x = 1,688,664,949.02/52,607.40
  6. Step 6: Final answer
    x = 32,099.38

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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.