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Finding the Fourth Proportional to 53,438.34, 73,768.53 and 31,935.67

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Solution

The fourth proportional to 53,438.34, 73,768.53 and 31,935.67 is: 44,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,438.34 : 73,768.53 = 31,935.67 : x
  2. Step 2: Convert to fraction form
    53,438.34/73,768.53 = 31,935.67/x
  3. Step 3: Cross multiply
    53,438.34x = 73,768.53 × 31,935.67
  4. Step 4: Simplify right side
    53,438.34x = 2,355,847,430.47
  5. Step 5: Solve for x
    x = 2,355,847,430.47/53,438.34
  6. Step 6: Final answer
    x = 44,085.34

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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.