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Finding the Fourth Proportional to 30,686.40, 46,029.60 and 19,006.20

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Solution

The fourth proportional to 30,686.40, 46,029.60 and 19,006.20 is: 28,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,686.40 : 46,029.60 = 19,006.20 : x
  2. Step 2: Convert to fraction form
    30,686.40/46,029.60 = 19,006.20/x
  3. Step 3: Cross multiply
    30,686.40x = 46,029.60 × 19,006.20
  4. Step 4: Simplify right side
    30,686.40x = 874,847,783.52
  5. Step 5: Solve for x
    x = 874,847,783.52/30,686.40
  6. Step 6: Final answer
    x = 28,509.30

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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.