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Finding the Fourth Proportional to 70,897.50, 106,363.53 and 21,649.50

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Solution

The fourth proportional to 70,897.50, 106,363.53 and 21,649.50 is: 32,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,897.50 : 106,363.53 = 21,649.50 : x
  2. Step 2: Convert to fraction form
    70,897.50/106,363.53 = 21,649.50/x
  3. Step 3: Cross multiply
    70,897.50x = 106,363.53 × 21,649.50
  4. Step 4: Simplify right side
    70,897.50x = 2,302,717,242.74
  5. Step 5: Solve for x
    x = 2,302,717,242.74/70,897.50
  6. Step 6: Final answer
    x = 32,479.53

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