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Finding the Fourth Proportional to 34,005.84, 46,931.02 and 19,863.24

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Solution

The fourth proportional to 34,005.84, 46,931.02 and 19,863.24 is: 27,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005.84 : 46,931.02 = 19,863.24 : x
  2. Step 2: Convert to fraction form
    34,005.84/46,931.02 = 19,863.24/x
  3. Step 3: Cross multiply
    34,005.84x = 46,931.02 × 19,863.24
  4. Step 4: Simplify right side
    34,005.84x = 932,202,113.70
  5. Step 5: Solve for x
    x = 932,202,113.70/34,005.84
  6. Step 6: Final answer
    x = 27,413.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.