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Finding the Fourth Proportional to 29,980.98, 44,971.56 and 7,792.92

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Solution

The fourth proportional to 29,980.98, 44,971.56 and 7,792.92 is: 11,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.98 : 44,971.56 = 7,792.92 : x
  2. Step 2: Convert to fraction form
    29,980.98/44,971.56 = 7,792.92/x
  3. Step 3: Cross multiply
    29,980.98x = 44,971.56 × 7,792.92
  4. Step 4: Simplify right side
    29,980.98x = 350,459,769.36
  5. Step 5: Solve for x
    x = 350,459,769.36/29,980.98
  6. Step 6: Final answer
    x = 11,689.40

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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.