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Finding the Fourth Proportional to 76,729.66, 105,892.25 and 46,516.25

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Solution

The fourth proportional to 76,729.66, 105,892.25 and 46,516.25 is: 64,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,729.66 : 105,892.25 = 46,516.25 : x
  2. Step 2: Convert to fraction form
    76,729.66/105,892.25 = 46,516.25/x
  3. Step 3: Cross multiply
    76,729.66x = 105,892.25 × 46,516.25
  4. Step 4: Simplify right side
    76,729.66x = 4,925,710,406.21
  5. Step 5: Solve for x
    x = 4,925,710,406.21/76,729.66
  6. Step 6: Final answer
    x = 64,195.65

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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.