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Finding the Fourth Proportional to 82,699.68, 114,123.12 and 46,892.96

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Solution

The fourth proportional to 82,699.68, 114,123.12 and 46,892.96 is: 64,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,699.68 : 114,123.12 = 46,892.96 : x
  2. Step 2: Convert to fraction form
    82,699.68/114,123.12 = 46,892.96/x
  3. Step 3: Cross multiply
    82,699.68x = 114,123.12 × 46,892.96
  4. Step 4: Simplify right side
    82,699.68x = 5,351,570,901.24
  5. Step 5: Solve for x
    x = 5,351,570,901.24/82,699.68
  6. Step 6: Final answer
    x = 64,710.90

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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.