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Finding the Fourth Proportional to 46,686.57, 70,019.18 and 13,406.37

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Solution

The fourth proportional to 46,686.57, 70,019.18 and 13,406.37 is: 20,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,686.57 : 70,019.18 = 13,406.37 : x
  2. Step 2: Convert to fraction form
    46,686.57/70,019.18 = 13,406.37/x
  3. Step 3: Cross multiply
    46,686.57x = 70,019.18 × 13,406.37
  4. Step 4: Simplify right side
    46,686.57x = 938,703,034.18
  5. Step 5: Solve for x
    x = 938,703,034.18/46,686.57
  6. Step 6: Final answer
    x = 20,106.49

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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.