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Finding the Fourth Proportional to 91,623, 137,450.92 and 47,237.84

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Solution

The fourth proportional to 91,623, 137,450.92 and 47,237.84 is: 70,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,623 : 137,450.92 = 47,237.84 : x
  2. Step 2: Convert to fraction form
    91,623/137,450.92 = 47,237.84/x
  3. Step 3: Cross multiply
    91,623x = 137,450.92 × 47,237.84
  4. Step 4: Simplify right side
    91,623x = 6,492,884,566.81
  5. Step 5: Solve for x
    x = 6,492,884,566.81/91,623
  6. Step 6: Final answer
    x = 70,865.23

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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.