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Finding the Fourth Proportional to 70,412.64, 105,618.96 and 17,822.16

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Solution

The fourth proportional to 70,412.64, 105,618.96 and 17,822.16 is: 26,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,412.64 : 105,618.96 = 17,822.16 : x
  2. Step 2: Convert to fraction form
    70,412.64/105,618.96 = 17,822.16/x
  3. Step 3: Cross multiply
    70,412.64x = 105,618.96 × 17,822.16
  4. Step 4: Simplify right side
    70,412.64x = 1,882,358,004.15
  5. Step 5: Solve for x
    x = 1,882,358,004.15/70,412.64
  6. Step 6: Final answer
    x = 26,733.24

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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.