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Finding the Fourth Proportional to 30,980.97, 46,474.82 and 9,916.04

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Solution

The fourth proportional to 30,980.97, 46,474.82 and 9,916.04 is: 14,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.97 : 46,474.82 = 9,916.04 : x
  2. Step 2: Convert to fraction form
    30,980.97/46,474.82 = 9,916.04/x
  3. Step 3: Cross multiply
    30,980.97x = 46,474.82 × 9,916.04
  4. Step 4: Simplify right side
    30,980.97x = 460,845,892.16
  5. Step 5: Solve for x
    x = 460,845,892.16/30,980.97
  6. Step 6: Final answer
    x = 14,875.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.