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Finding the Fourth Proportional to 91,547.84, 137,322.21 and 32,383.56

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Solution

The fourth proportional to 91,547.84, 137,322.21 and 32,383.56 is: 48,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,547.84 : 137,322.21 = 32,383.56 : x
  2. Step 2: Convert to fraction form
    91,547.84/137,322.21 = 32,383.56/x
  3. Step 3: Cross multiply
    91,547.84x = 137,322.21 × 32,383.56
  4. Step 4: Simplify right side
    91,547.84x = 4,446,982,026.87
  5. Step 5: Solve for x
    x = 4,446,982,026.87/91,547.84
  6. Step 6: Final answer
    x = 48,575.50

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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.