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Finding the Fourth Proportional to 31,106.30, 46,550.10 and 21,702.20

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Solution

The fourth proportional to 31,106.30, 46,550.10 and 21,702.20 is: 32,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.30 : 46,550.10 = 21,702.20 : x
  2. Step 2: Convert to fraction form
    31,106.30/46,550.10 = 21,702.20/x
  3. Step 3: Cross multiply
    31,106.30x = 46,550.10 × 21,702.20
  4. Step 4: Simplify right side
    31,106.30x = 1,010,239,580.22
  5. Step 5: Solve for x
    x = 1,010,239,580.22/31,106.30
  6. Step 6: Final answer
    x = 32,477.01

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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.