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Finding the Fourth Proportional to 46,419, 64,058.28 and 25,198.28

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Solution

The fourth proportional to 46,419, 64,058.28 and 25,198.28 is: 34,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,419 : 64,058.28 = 25,198.28 : x
  2. Step 2: Convert to fraction form
    46,419/64,058.28 = 25,198.28/x
  3. Step 3: Cross multiply
    46,419x = 64,058.28 × 25,198.28
  4. Step 4: Simplify right side
    46,419x = 1,614,158,475.76
  5. Step 5: Solve for x
    x = 1,614,158,475.76/46,419
  6. Step 6: Final answer
    x = 34,773.66

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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.