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Finding the Fourth Proportional to 27,300.40, 40,950.58 and 7,578.95

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Solution

The fourth proportional to 27,300.40, 40,950.58 and 7,578.95 is: 11,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300.40 : 40,950.58 = 7,578.95 : x
  2. Step 2: Convert to fraction form
    27,300.40/40,950.58 = 7,578.95/x
  3. Step 3: Cross multiply
    27,300.40x = 40,950.58 × 7,578.95
  4. Step 4: Simplify right side
    27,300.40x = 310,362,398.29
  5. Step 5: Solve for x
    x = 310,362,398.29/27,300.40
  6. Step 6: Final answer
    x = 11,368.42

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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.