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Finding the Fourth Proportional to 30,970.90, 46,428.95 and 13,431.16

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Solution

The fourth proportional to 30,970.90, 46,428.95 and 13,431.16 is: 20,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.90 : 46,428.95 = 13,431.16 : x
  2. Step 2: Convert to fraction form
    30,970.90/46,428.95 = 13,431.16/x
  3. Step 3: Cross multiply
    30,970.90x = 46,428.95 × 13,431.16
  4. Step 4: Simplify right side
    30,970.90x = 623,594,573.59
  5. Step 5: Solve for x
    x = 623,594,573.59/30,970.90
  6. Step 6: Final answer
    x = 20,134.86

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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.