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Finding the Fourth Proportional to 70,070.50, 96,697.29 and 44,920

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Solution

The fourth proportional to 70,070.50, 96,697.29 and 44,920 is: 61,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,070.50 : 96,697.29 = 44,920 : x
  2. Step 2: Convert to fraction form
    70,070.50/96,697.29 = 44,920/x
  3. Step 3: Cross multiply
    70,070.50x = 96,697.29 × 44,920
  4. Step 4: Simplify right side
    70,070.50x = 4,343,642,266.80
  5. Step 5: Solve for x
    x = 4,343,642,266.80/70,070.50
  6. Step 6: Final answer
    x = 61,989.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.