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Finding the Fourth Proportional to 76,302.38, 105,297.29 and 46,494.38

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Solution

The fourth proportional to 76,302.38, 105,297.29 and 46,494.38 is: 64,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302.38 : 105,297.29 = 46,494.38 : x
  2. Step 2: Convert to fraction form
    76,302.38/105,297.29 = 46,494.38/x
  3. Step 3: Cross multiply
    76,302.38x = 105,297.29 × 46,494.38
  4. Step 4: Simplify right side
    76,302.38x = 4,895,731,455.27
  5. Step 5: Solve for x
    x = 4,895,731,455.27/76,302.38
  6. Step 6: Final answer
    x = 64,162.24

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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.