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Finding the Fourth Proportional to 70,887.21, 97,824.30 and 39,056.10

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Solution

The fourth proportional to 70,887.21, 97,824.30 and 39,056.10 is: 53,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,887.21 : 97,824.30 = 39,056.10 : x
  2. Step 2: Convert to fraction form
    70,887.21/97,824.30 = 39,056.10/x
  3. Step 3: Cross multiply
    70,887.21x = 97,824.30 × 39,056.10
  4. Step 4: Simplify right side
    70,887.21x = 3,820,635,643.23
  5. Step 5: Solve for x
    x = 3,820,635,643.23/70,887.21
  6. Step 6: Final answer
    x = 53,897.39

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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.