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Finding the Fourth Proportional to 30,762.98, 46,144.69 and 11,041.71

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Solution

The fourth proportional to 30,762.98, 46,144.69 and 11,041.71 is: 16,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.98 : 46,144.69 = 11,041.71 : x
  2. Step 2: Convert to fraction form
    30,762.98/46,144.69 = 11,041.71/x
  3. Step 3: Cross multiply
    30,762.98x = 46,144.69 × 11,041.71
  4. Step 4: Simplify right side
    30,762.98x = 509,516,146.48
  5. Step 5: Solve for x
    x = 509,516,146.48/30,762.98
  6. Step 6: Final answer
    x = 16,562.64

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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.