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Finding the Fourth Proportional to 76,609.67, 105,730.68 and 46,405.53

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Solution

The fourth proportional to 76,609.67, 105,730.68 and 46,405.53 is: 64,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,609.67 : 105,730.68 = 46,405.53 : x
  2. Step 2: Convert to fraction form
    76,609.67/105,730.68 = 46,405.53/x
  3. Step 3: Cross multiply
    76,609.67x = 105,730.68 × 46,405.53
  4. Step 4: Simplify right side
    76,609.67x = 4,906,488,242.66
  5. Step 5: Solve for x
    x = 4,906,488,242.66/76,609.67
  6. Step 6: Final answer
    x = 64,045.29

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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.