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Finding the Fourth Proportional to 52,308, 78,497.28 and 19,476

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Solution

The fourth proportional to 52,308, 78,497.28 and 19,476 is: 29,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,308 : 78,497.28 = 19,476 : x
  2. Step 2: Convert to fraction form
    52,308/78,497.28 = 19,476/x
  3. Step 3: Cross multiply
    52,308x = 78,497.28 × 19,476
  4. Step 4: Simplify right side
    52,308x = 1,528,813,025.28
  5. Step 5: Solve for x
    x = 1,528,813,025.28/52,308
  6. Step 6: Final answer
    x = 29,227.14

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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.