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Finding the Fourth Proportional to 30,595.70, 42,222.02 and 17,857.64

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Solution

The fourth proportional to 30,595.70, 42,222.02 and 17,857.64 is: 24,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.70 : 42,222.02 = 17,857.64 : x
  2. Step 2: Convert to fraction form
    30,595.70/42,222.02 = 17,857.64/x
  3. Step 3: Cross multiply
    30,595.70x = 42,222.02 × 17,857.64
  4. Step 4: Simplify right side
    30,595.70x = 753,985,633.23
  5. Step 5: Solve for x
    x = 753,985,633.23/30,595.70
  6. Step 6: Final answer
    x = 24,643.52

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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.