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Finding the Fourth Proportional to 29,764.40, 44,646.60 and 8,985.20

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Solution

The fourth proportional to 29,764.40, 44,646.60 and 8,985.20 is: 13,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,764.40 : 44,646.60 = 8,985.20 : x
  2. Step 2: Convert to fraction form
    29,764.40/44,646.60 = 8,985.20/x
  3. Step 3: Cross multiply
    29,764.40x = 44,646.60 × 8,985.20
  4. Step 4: Simplify right side
    29,764.40x = 401,158,630.32
  5. Step 5: Solve for x
    x = 401,158,630.32/29,764.40
  6. Step 6: Final answer
    x = 13,477.80

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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.