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Finding the Fourth Proportional to 30,527, 45,785.10 and 13,883.12

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Solution

The fourth proportional to 30,527, 45,785.10 and 13,883.12 is: 20,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527 : 45,785.10 = 13,883.12 : x
  2. Step 2: Convert to fraction form
    30,527/45,785.10 = 13,883.12/x
  3. Step 3: Cross multiply
    30,527x = 45,785.10 × 13,883.12
  4. Step 4: Simplify right side
    30,527x = 635,640,037.51
  5. Step 5: Solve for x
    x = 635,640,037.51/30,527
  6. Step 6: Final answer
    x = 20,822.22

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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.