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Finding the Fourth Proportional to 64,886.30, 97,314.74 and 29,792.24

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Solution

The fourth proportional to 64,886.30, 97,314.74 and 29,792.24 is: 44,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,886.30 : 97,314.74 = 29,792.24 : x
  2. Step 2: Convert to fraction form
    64,886.30/97,314.74 = 29,792.24/x
  3. Step 3: Cross multiply
    64,886.30x = 97,314.74 × 29,792.24
  4. Step 4: Simplify right side
    64,886.30x = 2,899,224,089.62
  5. Step 5: Solve for x
    x = 2,899,224,089.62/64,886.30
  6. Step 6: Final answer
    x = 44,681.61

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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.