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Finding the Fourth Proportional to 52,299, 78,483.06 and 24,599.16

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Solution

The fourth proportional to 52,299, 78,483.06 and 24,599.16 is: 36,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,299 : 78,483.06 = 24,599.16 : x
  2. Step 2: Convert to fraction form
    52,299/78,483.06 = 24,599.16/x
  3. Step 3: Cross multiply
    52,299x = 78,483.06 × 24,599.16
  4. Step 4: Simplify right side
    52,299x = 1,930,617,350.23
  5. Step 5: Solve for x
    x = 1,930,617,350.23/52,299
  6. Step 6: Final answer
    x = 36,915.00

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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.