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Finding the Fourth Proportional to 32,358.64, 48,537.98 and 8,985.08

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Solution

The fourth proportional to 32,358.64, 48,537.98 and 8,985.08 is: 13,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,358.64 : 48,537.98 = 8,985.08 : x
  2. Step 2: Convert to fraction form
    32,358.64/48,537.98 = 8,985.08/x
  3. Step 3: Cross multiply
    32,358.64x = 48,537.98 × 8,985.08
  4. Step 4: Simplify right side
    32,358.64x = 436,117,633.34
  5. Step 5: Solve for x
    x = 436,117,633.34/32,358.64
  6. Step 6: Final answer
    x = 13,477.63

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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.