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Finding the Fourth Proportional to 31,130.40, 46,663.20 and 17,068.80

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Solution

The fourth proportional to 31,130.40, 46,663.20 and 17,068.80 is: 25,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.40 : 46,663.20 = 17,068.80 : x
  2. Step 2: Convert to fraction form
    31,130.40/46,663.20 = 17,068.80/x
  3. Step 3: Cross multiply
    31,130.40x = 46,663.20 × 17,068.80
  4. Step 4: Simplify right side
    31,130.40x = 796,484,828.16
  5. Step 5: Solve for x
    x = 796,484,828.16/31,130.40
  6. Step 6: Final answer
    x = 25,585.44

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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.