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Finding the Fourth Proportional to 30,494.68, 45,750.66 and 12,967

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Solution

The fourth proportional to 30,494.68, 45,750.66 and 12,967 is: 19,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.68 : 45,750.66 = 12,967 : x
  2. Step 2: Convert to fraction form
    30,494.68/45,750.66 = 12,967/x
  3. Step 3: Cross multiply
    30,494.68x = 45,750.66 × 12,967
  4. Step 4: Simplify right side
    30,494.68x = 593,248,808.22
  5. Step 5: Solve for x
    x = 593,248,808.22/30,494.68
  6. Step 6: Final answer
    x = 19,454.17

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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.