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Finding the Fourth Proportional to 31,303.74, 46,963.26 and 9,117.34

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Solution

The fourth proportional to 31,303.74, 46,963.26 and 9,117.34 is: 13,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.74 : 46,963.26 = 9,117.34 : x
  2. Step 2: Convert to fraction form
    31,303.74/46,963.26 = 9,117.34/x
  3. Step 3: Cross multiply
    31,303.74x = 46,963.26 × 9,117.34
  4. Step 4: Simplify right side
    31,303.74x = 428,180,008.93
  5. Step 5: Solve for x
    x = 428,180,008.93/31,303.74
  6. Step 6: Final answer
    x = 13,678.24

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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.