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Finding the Fourth Proportional to 30,219, 45,296.10 and 14,602.20

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Solution

The fourth proportional to 30,219, 45,296.10 and 14,602.20 is: 21,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219 : 45,296.10 = 14,602.20 : x
  2. Step 2: Convert to fraction form
    30,219/45,296.10 = 14,602.20/x
  3. Step 3: Cross multiply
    30,219x = 45,296.10 × 14,602.20
  4. Step 4: Simplify right side
    30,219x = 661,422,711.42
  5. Step 5: Solve for x
    x = 661,422,711.42/30,219
  6. Step 6: Final answer
    x = 21,887.64

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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.