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Finding the Fourth Proportional to 31,290.21, 46,931.49 and 12,569.49

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Solution

The fourth proportional to 31,290.21, 46,931.49 and 12,569.49 is: 18,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.21 : 46,931.49 = 12,569.49 : x
  2. Step 2: Convert to fraction form
    31,290.21/46,931.49 = 12,569.49/x
  3. Step 3: Cross multiply
    31,290.21x = 46,931.49 × 12,569.49
  4. Step 4: Simplify right side
    31,290.21x = 589,904,894.24
  5. Step 5: Solve for x
    x = 589,904,894.24/31,290.21
  6. Step 6: Final answer
    x = 18,852.70

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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.