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Finding the Fourth Proportional to 58,938.04, 88,421.82 and 27,766

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Solution

The fourth proportional to 58,938.04, 88,421.82 and 27,766 is: 41,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,938.04 : 88,421.82 = 27,766 : x
  2. Step 2: Convert to fraction form
    58,938.04/88,421.82 = 27,766/x
  3. Step 3: Cross multiply
    58,938.04x = 88,421.82 × 27,766
  4. Step 4: Simplify right side
    58,938.04x = 2,455,120,254.12
  5. Step 5: Solve for x
    x = 2,455,120,254.12/58,938.04
  6. Step 6: Final answer
    x = 41,655.95

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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.