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Finding the Fourth Proportional to 70,886.14, 106,256.16 and 31,461.82

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Solution

The fourth proportional to 70,886.14, 106,256.16 and 31,461.82 is: 47,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,886.14 : 106,256.16 = 31,461.82 : x
  2. Step 2: Convert to fraction form
    70,886.14/106,256.16 = 31,461.82/x
  3. Step 3: Cross multiply
    70,886.14x = 106,256.16 × 31,461.82
  4. Step 4: Simplify right side
    70,886.14x = 3,343,012,179.81
  5. Step 5: Solve for x
    x = 3,343,012,179.81/70,886.14
  6. Step 6: Final answer
    x = 47,160.31

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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.