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Finding the Fourth Proportional to 55,924.76, 77,176.04 and 30,774.26

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Solution

The fourth proportional to 55,924.76, 77,176.04 and 30,774.26 is: 42,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924.76 : 77,176.04 = 30,774.26 : x
  2. Step 2: Convert to fraction form
    55,924.76/77,176.04 = 30,774.26/x
  3. Step 3: Cross multiply
    55,924.76x = 77,176.04 × 30,774.26
  4. Step 4: Simplify right side
    55,924.76x = 2,375,034,980.98
  5. Step 5: Solve for x
    x = 2,375,034,980.98/55,924.76
  6. Step 6: Final answer
    x = 42,468.40

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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.