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Finding the Fourth Proportional to 52,457.96, 78,710.20 and 27,492.08

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Solution

The fourth proportional to 52,457.96, 78,710.20 and 27,492.08 is: 41,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,457.96 : 78,710.20 = 27,492.08 : x
  2. Step 2: Convert to fraction form
    52,457.96/78,710.20 = 27,492.08/x
  3. Step 3: Cross multiply
    52,457.96x = 78,710.20 × 27,492.08
  4. Step 4: Simplify right side
    52,457.96x = 2,163,907,115.22
  5. Step 5: Solve for x
    x = 2,163,907,115.22/52,457.96
  6. Step 6: Final answer
    x = 41,250.31

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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.