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Finding the Fourth Proportional to 70,952.88, 97,831.80 and 53,016.24

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Solution

The fourth proportional to 70,952.88, 97,831.80 and 53,016.24 is: 73,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952.88 : 97,831.80 = 53,016.24 : x
  2. Step 2: Convert to fraction form
    70,952.88/97,831.80 = 53,016.24/x
  3. Step 3: Cross multiply
    70,952.88x = 97,831.80 × 53,016.24
  4. Step 4: Simplify right side
    70,952.88x = 5,186,674,188.43
  5. Step 5: Solve for x
    x = 5,186,674,188.43/70,952.88
  6. Step 6: Final answer
    x = 73,100.26

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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.