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Finding the Fourth Proportional to 85,904.72, 128,894.16 and 46,489.64

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Solution

The fourth proportional to 85,904.72, 128,894.16 and 46,489.64 is: 69,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,904.72 : 128,894.16 = 46,489.64 : x
  2. Step 2: Convert to fraction form
    85,904.72/128,894.16 = 46,489.64/x
  3. Step 3: Cross multiply
    85,904.72x = 128,894.16 × 46,489.64
  4. Step 4: Simplify right side
    85,904.72x = 5,992,243,096.50
  5. Step 5: Solve for x
    x = 5,992,243,096.50/85,904.72
  6. Step 6: Final answer
    x = 69,754.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.