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Finding the Fourth Proportional to 30,135.09, 45,203.47 and 11,411.63

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Solution

The fourth proportional to 30,135.09, 45,203.47 and 11,411.63 is: 17,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135.09 : 45,203.47 = 11,411.63 : x
  2. Step 2: Convert to fraction form
    30,135.09/45,203.47 = 11,411.63/x
  3. Step 3: Cross multiply
    30,135.09x = 45,203.47 × 11,411.63
  4. Step 4: Simplify right side
    30,135.09x = 515,845,443.59
  5. Step 5: Solve for x
    x = 515,845,443.59/30,135.09
  6. Step 6: Final answer
    x = 17,117.77

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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.