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Finding the Fourth Proportional to 30,477.81, 42,085.34 and 19,166.24

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Solution

The fourth proportional to 30,477.81, 42,085.34 and 19,166.24 is: 26,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.81 : 42,085.34 = 19,166.24 : x
  2. Step 2: Convert to fraction form
    30,477.81/42,085.34 = 19,166.24/x
  3. Step 3: Cross multiply
    30,477.81x = 42,085.34 × 19,166.24
  4. Step 4: Simplify right side
    30,477.81x = 806,617,726.92
  5. Step 5: Solve for x
    x = 806,617,726.92/30,477.81
  6. Step 6: Final answer
    x = 26,465.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.