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Finding the Fourth Proportional to 34,867.80, 52,295.64 and 9,902.01

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Solution

The fourth proportional to 34,867.80, 52,295.64 and 9,902.01 is: 14,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,867.80 : 52,295.64 = 9,902.01 : x
  2. Step 2: Convert to fraction form
    34,867.80/52,295.64 = 9,902.01/x
  3. Step 3: Cross multiply
    34,867.80x = 52,295.64 × 9,902.01
  4. Step 4: Simplify right side
    34,867.80x = 517,831,950.24
  5. Step 5: Solve for x
    x = 517,831,950.24/34,867.80
  6. Step 6: Final answer
    x = 14,851.29

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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.