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Finding the Fourth Proportional to 91,809.94, 137,699.07 and 24,342.45

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Solution

The fourth proportional to 91,809.94, 137,699.07 and 24,342.45 is: 36,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,809.94 : 137,699.07 = 24,342.45 : x
  2. Step 2: Convert to fraction form
    91,809.94/137,699.07 = 24,342.45/x
  3. Step 3: Cross multiply
    91,809.94x = 137,699.07 × 24,342.45
  4. Step 4: Simplify right side
    91,809.94x = 3,351,932,038.03
  5. Step 5: Solve for x
    x = 3,351,932,038.03/91,809.94
  6. Step 6: Final answer
    x = 36,509.47

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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.