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Finding the Fourth Proportional to 46,806.94, 70,210.41 and 15,642.19

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Solution

The fourth proportional to 46,806.94, 70,210.41 and 15,642.19 is: 23,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,806.94 : 70,210.41 = 15,642.19 : x
  2. Step 2: Convert to fraction form
    46,806.94/70,210.41 = 15,642.19/x
  3. Step 3: Cross multiply
    46,806.94x = 70,210.41 × 15,642.19
  4. Step 4: Simplify right side
    46,806.94x = 1,098,244,397.67
  5. Step 5: Solve for x
    x = 1,098,244,397.67/46,806.94
  6. Step 6: Final answer
    x = 23,463.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.