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Finding the Fourth Proportional to 31,200.08, 46,792.08 and 9,009.20

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Solution

The fourth proportional to 31,200.08, 46,792.08 and 9,009.20 is: 13,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.08 : 46,792.08 = 9,009.20 : x
  2. Step 2: Convert to fraction form
    31,200.08/46,792.08 = 9,009.20/x
  3. Step 3: Cross multiply
    31,200.08x = 46,792.08 × 9,009.20
  4. Step 4: Simplify right side
    31,200.08x = 421,559,207.14
  5. Step 5: Solve for x
    x = 421,559,207.14/31,200.08
  6. Step 6: Final answer
    x = 13,511.48

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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.