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Finding the Fourth Proportional to 64,803, 97,166.16 and 25,314.36

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Solution

The fourth proportional to 64,803, 97,166.16 and 25,314.36 is: 37,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,803 : 97,166.16 = 25,314.36 : x
  2. Step 2: Convert to fraction form
    64,803/97,166.16 = 25,314.36/x
  3. Step 3: Cross multiply
    64,803x = 97,166.16 × 25,314.36
  4. Step 4: Simplify right side
    64,803x = 2,459,699,154.06
  5. Step 5: Solve for x
    x = 2,459,699,154.06/64,803
  6. Step 6: Final answer
    x = 37,956.56

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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.