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Finding the Fourth Proportional to 31,005.64, 46,506.00 and 9,940.07

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Solution

The fourth proportional to 31,005.64, 46,506.00 and 9,940.07 is: 14,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.64 : 46,506.00 = 9,940.07 : x
  2. Step 2: Convert to fraction form
    31,005.64/46,506.00 = 9,940.07/x
  3. Step 3: Cross multiply
    31,005.64x = 46,506.00 × 9,940.07
  4. Step 4: Simplify right side
    31,005.64x = 462,272,731.45
  5. Step 5: Solve for x
    x = 462,272,731.45/31,005.64
  6. Step 6: Final answer
    x = 14,909.31

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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.