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Finding the Fourth Proportional to 70,097.96, 105,084.36 and 25,714.32

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Solution

The fourth proportional to 70,097.96, 105,084.36 and 25,714.32 is: 38,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,097.96 : 105,084.36 = 25,714.32 : x
  2. Step 2: Convert to fraction form
    70,097.96/105,084.36 = 25,714.32/x
  3. Step 3: Cross multiply
    70,097.96x = 105,084.36 × 25,714.32
  4. Step 4: Simplify right side
    70,097.96x = 2,702,172,860.04
  5. Step 5: Solve for x
    x = 2,702,172,860.04/70,097.96
  6. Step 6: Final answer
    x = 38,548.52

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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.