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Finding the Fourth Proportional to 46,419, 63,998.40 and 37,912.14

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Solution

The fourth proportional to 46,419, 63,998.40 and 37,912.14 is: 52,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,419 : 63,998.40 = 37,912.14 : x
  2. Step 2: Convert to fraction form
    46,419/63,998.40 = 37,912.14/x
  3. Step 3: Cross multiply
    46,419x = 63,998.40 × 37,912.14
  4. Step 4: Simplify right side
    46,419x = 2,426,316,300.58
  5. Step 5: Solve for x
    x = 2,426,316,300.58/46,419
  6. Step 6: Final answer
    x = 52,269.90

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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.