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Finding the Fourth Proportional to 31,289.16, 46,941.66 and 9,102

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Solution

The fourth proportional to 31,289.16, 46,941.66 and 9,102 is: 13,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,289.16 : 46,941.66 = 9,102 : x
  2. Step 2: Convert to fraction form
    31,289.16/46,941.66 = 9,102/x
  3. Step 3: Cross multiply
    31,289.16x = 46,941.66 × 9,102
  4. Step 4: Simplify right side
    31,289.16x = 427,262,989.32
  5. Step 5: Solve for x
    x = 427,262,989.32/31,289.16
  6. Step 6: Final answer
    x = 13,655.30

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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.