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Finding the Fourth Proportional to 30,588.95, 45,864.71 and 27,978.45

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Solution

The fourth proportional to 30,588.95, 45,864.71 and 27,978.45 is: 41,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.95 : 45,864.71 = 27,978.45 : x
  2. Step 2: Convert to fraction form
    30,588.95/45,864.71 = 27,978.45/x
  3. Step 3: Cross multiply
    30,588.95x = 45,864.71 × 27,978.45
  4. Step 4: Simplify right side
    30,588.95x = 1,283,223,495.50
  5. Step 5: Solve for x
    x = 1,283,223,495.50/30,588.95
  6. Step 6: Final answer
    x = 41,950.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.