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Finding the Fourth Proportional to 55,547.84, 83,322.08 and 22,715.84

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Solution

The fourth proportional to 55,547.84, 83,322.08 and 22,715.84 is: 34,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,547.84 : 83,322.08 = 22,715.84 : x
  2. Step 2: Convert to fraction form
    55,547.84/83,322.08 = 22,715.84/x
  3. Step 3: Cross multiply
    55,547.84x = 83,322.08 × 22,715.84
  4. Step 4: Simplify right side
    55,547.84x = 1,892,731,037.75
  5. Step 5: Solve for x
    x = 1,892,731,037.75/55,547.84
  6. Step 6: Final answer
    x = 34,073.89

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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.