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Finding the Fourth Proportional to 46,697, 70,046.14 and 15,532.28

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Solution

The fourth proportional to 46,697, 70,046.14 and 15,532.28 is: 23,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,697 : 70,046.14 = 15,532.28 : x
  2. Step 2: Convert to fraction form
    46,697/70,046.14 = 15,532.28/x
  3. Step 3: Cross multiply
    46,697x = 70,046.14 × 15,532.28
  4. Step 4: Simplify right side
    46,697x = 1,087,976,259.40
  5. Step 5: Solve for x
    x = 1,087,976,259.40/46,697
  6. Step 6: Final answer
    x = 23,298.63

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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.