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Finding the Fourth Proportional to 51,386.39, 70,924.65 and 31,239

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Solution

The fourth proportional to 51,386.39, 70,924.65 and 31,239 is: 43,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,386.39 : 70,924.65 = 31,239 : x
  2. Step 2: Convert to fraction form
    51,386.39/70,924.65 = 31,239/x
  3. Step 3: Cross multiply
    51,386.39x = 70,924.65 × 31,239
  4. Step 4: Simplify right side
    51,386.39x = 2,215,615,141.35
  5. Step 5: Solve for x
    x = 2,215,615,141.35/51,386.39
  6. Step 6: Final answer
    x = 43,116.77

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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.