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Finding the Fourth Proportional to 32,609.60, 48,914.40 and 7,985.60

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Solution

The fourth proportional to 32,609.60, 48,914.40 and 7,985.60 is: 11,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,609.60 : 48,914.40 = 7,985.60 : x
  2. Step 2: Convert to fraction form
    32,609.60/48,914.40 = 7,985.60/x
  3. Step 3: Cross multiply
    32,609.60x = 48,914.40 × 7,985.60
  4. Step 4: Simplify right side
    32,609.60x = 390,610,832.64
  5. Step 5: Solve for x
    x = 390,610,832.64/32,609.60
  6. Step 6: Final answer
    x = 11,978.40

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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.