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Finding the Fourth Proportional to 34,973.55, 52,460.32 and 8,678.29

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Solution

The fourth proportional to 34,973.55, 52,460.32 and 8,678.29 is: 13,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,973.55 : 52,460.32 = 8,678.29 : x
  2. Step 2: Convert to fraction form
    34,973.55/52,460.32 = 8,678.29/x
  3. Step 3: Cross multiply
    34,973.55x = 52,460.32 × 8,678.29
  4. Step 4: Simplify right side
    34,973.55x = 455,265,844.45
  5. Step 5: Solve for x
    x = 455,265,844.45/34,973.55
  6. Step 6: Final answer
    x = 13,017.43

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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.