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Finding the Fourth Proportional to 46,931.70, 70,353.81 and 23,530.80

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Solution

The fourth proportional to 46,931.70, 70,353.81 and 23,530.80 is: 35,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,931.70 : 70,353.81 = 23,530.80 : x
  2. Step 2: Convert to fraction form
    46,931.70/70,353.81 = 23,530.80/x
  3. Step 3: Cross multiply
    46,931.70x = 70,353.81 × 23,530.80
  4. Step 4: Simplify right side
    46,931.70x = 1,655,481,432.35
  5. Step 5: Solve for x
    x = 1,655,481,432.35/46,931.70
  6. Step 6: Final answer
    x = 35,274.27

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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.