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Finding the Fourth Proportional to 34,985.16, 52,499.52 and 15,264

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Solution

The fourth proportional to 34,985.16, 52,499.52 and 15,264 is: 22,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,985.16 : 52,499.52 = 15,264 : x
  2. Step 2: Convert to fraction form
    34,985.16/52,499.52 = 15,264/x
  3. Step 3: Cross multiply
    34,985.16x = 52,499.52 × 15,264
  4. Step 4: Simplify right side
    34,985.16x = 801,352,673.28
  5. Step 5: Solve for x
    x = 801,352,673.28/34,985.16
  6. Step 6: Final answer
    x = 22,905.50

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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.