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Finding the Fourth Proportional to 46,762.70, 70,174.74 and 17,180.78

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Solution

The fourth proportional to 46,762.70, 70,174.74 and 17,180.78 is: 25,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,762.70 : 70,174.74 = 17,180.78 : x
  2. Step 2: Convert to fraction form
    46,762.70/70,174.74 = 17,180.78/x
  3. Step 3: Cross multiply
    46,762.70x = 70,174.74 × 17,180.78
  4. Step 4: Simplify right side
    46,762.70x = 1,205,656,769.50
  5. Step 5: Solve for x
    x = 1,205,656,769.50/46,762.70
  6. Step 6: Final answer
    x = 25,782.45

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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.