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Finding the Fourth Proportional to 82,623.30, 114,019.85 and 46,820.16

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Solution

The fourth proportional to 82,623.30, 114,019.85 and 46,820.16 is: 64,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,623.30 : 114,019.85 = 46,820.16 : x
  2. Step 2: Convert to fraction form
    82,623.30/114,019.85 = 46,820.16/x
  3. Step 3: Cross multiply
    82,623.30x = 114,019.85 × 46,820.16
  4. Step 4: Simplify right side
    82,623.30x = 5,338,427,386.08
  5. Step 5: Solve for x
    x = 5,338,427,386.08/82,623.30
  6. Step 6: Final answer
    x = 64,611.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.