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Finding the Fourth Proportional to 101,457.72, 152,211.48 and 34,898.88

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Solution

The fourth proportional to 101,457.72, 152,211.48 and 34,898.88 is: 52,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,457.72 : 152,211.48 = 34,898.88 : x
  2. Step 2: Convert to fraction form
    101,457.72/152,211.48 = 34,898.88/x
  3. Step 3: Cross multiply
    101,457.72x = 152,211.48 × 34,898.88
  4. Step 4: Simplify right side
    101,457.72x = 5,312,010,175.14
  5. Step 5: Solve for x
    x = 5,312,010,175.14/101,457.72
  6. Step 6: Final answer
    x = 52,356.88

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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.