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Finding the Fourth Proportional to 46,276.32, 69,402.96 and 37,956

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Solution

The fourth proportional to 46,276.32, 69,402.96 and 37,956 is: 56,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,276.32 : 69,402.96 = 37,956 : x
  2. Step 2: Convert to fraction form
    46,276.32/69,402.96 = 37,956/x
  3. Step 3: Cross multiply
    46,276.32x = 69,402.96 × 37,956
  4. Step 4: Simplify right side
    46,276.32x = 2,634,258,749.76
  5. Step 5: Solve for x
    x = 2,634,258,749.76/46,276.32
  6. Step 6: Final answer
    x = 56,924.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.