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Finding the Fourth Proportional to 46,879.68, 70,368.12 and 31,405.44

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Solution

The fourth proportional to 46,879.68, 70,368.12 and 31,405.44 is: 47,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,879.68 : 70,368.12 = 31,405.44 : x
  2. Step 2: Convert to fraction form
    46,879.68/70,368.12 = 31,405.44/x
  3. Step 3: Cross multiply
    46,879.68x = 70,368.12 × 31,405.44
  4. Step 4: Simplify right side
    46,879.68x = 2,209,941,770.57
  5. Step 5: Solve for x
    x = 2,209,941,770.57/46,879.68
  6. Step 6: Final answer
    x = 47,140.72

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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.