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Finding the Fourth Proportional to 64,834.83, 97,194.53 and 25,419.42

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Solution

The fourth proportional to 64,834.83, 97,194.53 and 25,419.42 is: 38,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,834.83 : 97,194.53 = 25,419.42 : x
  2. Step 2: Convert to fraction form
    64,834.83/97,194.53 = 25,419.42/x
  3. Step 3: Cross multiply
    64,834.83x = 97,194.53 × 25,419.42
  4. Step 4: Simplify right side
    64,834.83x = 2,470,628,643.32
  5. Step 5: Solve for x
    x = 2,470,628,643.32/64,834.83
  6. Step 6: Final answer
    x = 38,106.50

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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.