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Finding the Fourth Proportional to 51,258, 70,730.34 and 29,742.78

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Solution

The fourth proportional to 51,258, 70,730.34 and 29,742.78 is: 41,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,258 : 70,730.34 = 29,742.78 : x
  2. Step 2: Convert to fraction form
    51,258/70,730.34 = 29,742.78/x
  3. Step 3: Cross multiply
    51,258x = 70,730.34 × 29,742.78
  4. Step 4: Simplify right side
    51,258x = 2,103,716,941.95
  5. Step 5: Solve for x
    x = 2,103,716,941.95/51,258
  6. Step 6: Final answer
    x = 41,041.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.