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Finding the Fourth Proportional to 70,090.32, 96,726 and 38,262

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Solution

The fourth proportional to 70,090.32, 96,726 and 38,262 is: 52,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,090.32 : 96,726 = 38,262 : x
  2. Step 2: Convert to fraction form
    70,090.32/96,726 = 38,262/x
  3. Step 3: Cross multiply
    70,090.32x = 96,726 × 38,262
  4. Step 4: Simplify right side
    70,090.32x = 3,700,930,212
  5. Step 5: Solve for x
    x = 3,700,930,212/70,090.32
  6. Step 6: Final answer
    x = 52,802.30

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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.