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Finding the Fourth Proportional to 55,666.08, 83,513.70 and 27,585

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Solution

The fourth proportional to 55,666.08, 83,513.70 and 27,585 is: 41,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,666.08 : 83,513.70 = 27,585 : x
  2. Step 2: Convert to fraction form
    55,666.08/83,513.70 = 27,585/x
  3. Step 3: Cross multiply
    55,666.08x = 83,513.70 × 27,585
  4. Step 4: Simplify right side
    55,666.08x = 2,303,725,414.50
  5. Step 5: Solve for x
    x = 2,303,725,414.50/55,666.08
  6. Step 6: Final answer
    x = 41,384.73

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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.