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Finding the Fourth Proportional to 70,802.44, 97,708.06 and 38,972

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Solution

The fourth proportional to 70,802.44, 97,708.06 and 38,972 is: 53,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,802.44 : 97,708.06 = 38,972 : x
  2. Step 2: Convert to fraction form
    70,802.44/97,708.06 = 38,972/x
  3. Step 3: Cross multiply
    70,802.44x = 97,708.06 × 38,972
  4. Step 4: Simplify right side
    70,802.44x = 3,807,878,514.32
  5. Step 5: Solve for x
    x = 3,807,878,514.32/70,802.44
  6. Step 6: Final answer
    x = 53,781.74

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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.