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Finding the Fourth Proportional to 82,693.68, 114,114.84 and 46,886.96

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Solution

The fourth proportional to 82,693.68, 114,114.84 and 46,886.96 is: 64,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,693.68 : 114,114.84 = 46,886.96 : x
  2. Step 2: Convert to fraction form
    82,693.68/114,114.84 = 46,886.96/x
  3. Step 3: Cross multiply
    82,693.68x = 114,114.84 × 46,886.96
  4. Step 4: Simplify right side
    82,693.68x = 5,350,497,938.49
  5. Step 5: Solve for x
    x = 5,350,497,938.49/82,693.68
  6. Step 6: Final answer
    x = 64,702.62

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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.