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Finding the Fourth Proportional to 46,577, 64,292.46 and 27,713.72

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Solution

The fourth proportional to 46,577, 64,292.46 and 27,713.72 is: 38,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,577 : 64,292.46 = 27,713.72 : x
  2. Step 2: Convert to fraction form
    46,577/64,292.46 = 27,713.72/x
  3. Step 3: Cross multiply
    46,577x = 64,292.46 × 27,713.72
  4. Step 4: Simplify right side
    46,577x = 1,781,783,234.55
  5. Step 5: Solve for x
    x = 1,781,783,234.55/46,577
  6. Step 6: Final answer
    x = 38,254.57

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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.