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Finding the Fourth Proportional to 52,457.90, 78,710.09 and 27,492

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Solution

The fourth proportional to 52,457.90, 78,710.09 and 27,492 is: 41,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,457.90 : 78,710.09 = 27,492 : x
  2. Step 2: Convert to fraction form
    52,457.90/78,710.09 = 27,492/x
  3. Step 3: Cross multiply
    52,457.90x = 78,710.09 × 27,492
  4. Step 4: Simplify right side
    52,457.90x = 2,163,897,656.82
  5. Step 5: Solve for x
    x = 2,163,897,656.82/52,457.90
  6. Step 6: Final answer
    x = 41,250.18

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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.