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Finding the Fourth Proportional to 30,533.97, 45,801 and 8,347.35

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Solution

The fourth proportional to 30,533.97, 45,801 and 8,347.35 is: 12,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533.97 : 45,801 = 8,347.35 : x
  2. Step 2: Convert to fraction form
    30,533.97/45,801 = 8,347.35/x
  3. Step 3: Cross multiply
    30,533.97x = 45,801 × 8,347.35
  4. Step 4: Simplify right side
    30,533.97x = 382,316,977.35
  5. Step 5: Solve for x
    x = 382,316,977.35/30,533.97
  6. Step 6: Final answer
    x = 12,521.04

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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.