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Finding the Fourth Proportional to 46,427, 64,077.36 and 27,563.72

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Solution

The fourth proportional to 46,427, 64,077.36 and 27,563.72 is: 38,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,427 : 64,077.36 = 27,563.72 : x
  2. Step 2: Convert to fraction form
    46,427/64,077.36 = 27,563.72/x
  3. Step 3: Cross multiply
    46,427x = 64,077.36 × 27,563.72
  4. Step 4: Simplify right side
    46,427x = 1,766,210,409.38
  5. Step 5: Solve for x
    x = 1,766,210,409.38/46,427
  6. Step 6: Final answer
    x = 38,042.74

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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.