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Finding the Fourth Proportional to 56,421, 77,859.72 and 32,546.16

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Solution

The fourth proportional to 56,421, 77,859.72 and 32,546.16 is: 44,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,421 : 77,859.72 = 32,546.16 : x
  2. Step 2: Convert to fraction form
    56,421/77,859.72 = 32,546.16/x
  3. Step 3: Cross multiply
    56,421x = 77,859.72 × 32,546.16
  4. Step 4: Simplify right side
    56,421x = 2,534,034,904.68
  5. Step 5: Solve for x
    x = 2,534,034,904.68/56,421
  6. Step 6: Final answer
    x = 44,912.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.