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Finding the Fourth Proportional to 32,113.30, 48,174.56 and 9,928.40

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Solution

The fourth proportional to 32,113.30, 48,174.56 and 9,928.40 is: 14,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,113.30 : 48,174.56 = 9,928.40 : x
  2. Step 2: Convert to fraction form
    32,113.30/48,174.56 = 9,928.40/x
  3. Step 3: Cross multiply
    32,113.30x = 48,174.56 × 9,928.40
  4. Step 4: Simplify right side
    32,113.30x = 478,296,301.50
  5. Step 5: Solve for x
    x = 478,296,301.50/32,113.30
  6. Step 6: Final answer
    x = 14,894.03

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1.5x scale

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.