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Finding the Fourth Proportional to 46,969.68, 70,454.64 and 15,826.80

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Solution

The fourth proportional to 46,969.68, 70,454.64 and 15,826.80 is: 23,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,969.68 : 70,454.64 = 15,826.80 : x
  2. Step 2: Convert to fraction form
    46,969.68/70,454.64 = 15,826.80/x
  3. Step 3: Cross multiply
    46,969.68x = 70,454.64 × 15,826.80
  4. Step 4: Simplify right side
    46,969.68x = 1,115,071,496.35
  5. Step 5: Solve for x
    x = 1,115,071,496.35/46,969.68
  6. Step 6: Final answer
    x = 23,740.24

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1.5x scale

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.