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Finding the Fourth Proportional to 64,972.60, 97,410.30 and 35,423.80

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Solution

The fourth proportional to 64,972.60, 97,410.30 and 35,423.80 is: 53,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.60 : 97,410.30 = 35,423.80 : x
  2. Step 2: Convert to fraction form
    64,972.60/97,410.30 = 35,423.80/x
  3. Step 3: Cross multiply
    64,972.60x = 97,410.30 × 35,423.80
  4. Step 4: Simplify right side
    64,972.60x = 3,450,642,985.14
  5. Step 5: Solve for x
    x = 3,450,642,985.14/64,972.60
  6. Step 6: Final answer
    x = 53,109.20

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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.