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Finding the Fourth Proportional to 91,496.84, 137,256.32 and 32,320.40

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Solution

The fourth proportional to 91,496.84, 137,256.32 and 32,320.40 is: 48,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,496.84 : 137,256.32 = 32,320.40 : x
  2. Step 2: Convert to fraction form
    91,496.84/137,256.32 = 32,320.40/x
  3. Step 3: Cross multiply
    91,496.84x = 137,256.32 × 32,320.40
  4. Step 4: Simplify right side
    91,496.84x = 4,436,178,559.45
  5. Step 5: Solve for x
    x = 4,436,178,559.45/91,496.84
  6. Step 6: Final answer
    x = 48,484.50

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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.