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Finding the Fourth Proportional to 70,909.60, 97,896.06 and 47,068.60

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Solution

The fourth proportional to 70,909.60, 97,896.06 and 47,068.60 is: 64,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,909.60 : 97,896.06 = 47,068.60 : x
  2. Step 2: Convert to fraction form
    70,909.60/97,896.06 = 47,068.60/x
  3. Step 3: Cross multiply
    70,909.60x = 97,896.06 × 47,068.60
  4. Step 4: Simplify right side
    70,909.60x = 4,607,830,489.72
  5. Step 5: Solve for x
    x = 4,607,830,489.72/70,909.60
  6. Step 6: Final answer
    x = 64,981.76

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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.