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Finding the Fourth Proportional to 30,568.32, 45,852.63 and 13,916.70

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Solution

The fourth proportional to 30,568.32, 45,852.63 and 13,916.70 is: 20,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.32 : 45,852.63 = 13,916.70 : x
  2. Step 2: Convert to fraction form
    30,568.32/45,852.63 = 13,916.70/x
  3. Step 3: Cross multiply
    30,568.32x = 45,852.63 × 13,916.70
  4. Step 4: Simplify right side
    30,568.32x = 638,117,295.92
  5. Step 5: Solve for x
    x = 638,117,295.92/30,568.32
  6. Step 6: Final answer
    x = 20,875.12

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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.