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Finding the Fourth Proportional to 32,003.30, 48,004.95 and 9,820.10

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Solution

The fourth proportional to 32,003.30, 48,004.95 and 9,820.10 is: 14,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.30 : 48,004.95 = 9,820.10 : x
  2. Step 2: Convert to fraction form
    32,003.30/48,004.95 = 9,820.10/x
  3. Step 3: Cross multiply
    32,003.30x = 48,004.95 × 9,820.10
  4. Step 4: Simplify right side
    32,003.30x = 471,413,409.50
  5. Step 5: Solve for x
    x = 471,413,409.50/32,003.30
  6. Step 6: Final answer
    x = 14,730.15

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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.