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Finding the Fourth Proportional to 30,762.40, 46,127.20 and 15,934.54

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Solution

The fourth proportional to 30,762.40, 46,127.20 and 15,934.54 is: 23,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.40 : 46,127.20 = 15,934.54 : x
  2. Step 2: Convert to fraction form
    30,762.40/46,127.20 = 15,934.54/x
  3. Step 3: Cross multiply
    30,762.40x = 46,127.20 × 15,934.54
  4. Step 4: Simplify right side
    30,762.40x = 735,015,713.49
  5. Step 5: Solve for x
    x = 735,015,713.49/30,762.40
  6. Step 6: Final answer
    x = 23,893.32

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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.