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Finding the Fourth Proportional to 50,909.24, 70,254.54 and 31,037.24

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Solution

The fourth proportional to 50,909.24, 70,254.54 and 31,037.24 is: 42,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,909.24 : 70,254.54 = 31,037.24 : x
  2. Step 2: Convert to fraction form
    50,909.24/70,254.54 = 31,037.24/x
  3. Step 3: Cross multiply
    50,909.24x = 70,254.54 × 31,037.24
  4. Step 4: Simplify right side
    50,909.24x = 2,180,507,019.07
  5. Step 5: Solve for x
    x = 2,180,507,019.07/50,909.24
  6. Step 6: Final answer
    x = 42,831.26

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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.