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Finding the Fourth Proportional to 70,470.95, 105,716.12 and 37,193.31

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Solution

The fourth proportional to 70,470.95, 105,716.12 and 37,193.31 is: 55,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,470.95 : 105,716.12 = 37,193.31 : x
  2. Step 2: Convert to fraction form
    70,470.95/105,716.12 = 37,193.31/x
  3. Step 3: Cross multiply
    70,470.95x = 105,716.12 × 37,193.31
  4. Step 4: Simplify right side
    70,470.95x = 3,931,932,237.19
  5. Step 5: Solve for x
    x = 3,931,932,237.19/70,470.95
  6. Step 6: Final answer
    x = 55,795.08

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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.