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Finding the Fourth Proportional to 82,907.64, 124,360.32 and 20,578.20

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Solution

The fourth proportional to 82,907.64, 124,360.32 and 20,578.20 is: 30,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,907.64 : 124,360.32 = 20,578.20 : x
  2. Step 2: Convert to fraction form
    82,907.64/124,360.32 = 20,578.20/x
  3. Step 3: Cross multiply
    82,907.64x = 124,360.32 × 20,578.20
  4. Step 4: Simplify right side
    82,907.64x = 2,559,111,537.02
  5. Step 5: Solve for x
    x = 2,559,111,537.02/82,907.64
  6. Step 6: Final answer
    x = 30,867.02

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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.