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Finding the Fourth Proportional to 30,192.41, 45,284.51 and 11,477.16

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Solution

The fourth proportional to 30,192.41, 45,284.51 and 11,477.16 is: 17,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192.41 : 45,284.51 = 11,477.16 : x
  2. Step 2: Convert to fraction form
    30,192.41/45,284.51 = 11,477.16/x
  3. Step 3: Cross multiply
    30,192.41x = 45,284.51 × 11,477.16
  4. Step 4: Simplify right side
    30,192.41x = 519,737,595.48
  5. Step 5: Solve for x
    x = 519,737,595.48/30,192.41
  6. Step 6: Final answer
    x = 17,214.18

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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.