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Finding the Fourth Proportional to 64,703.14, 97,054.68 and 17,956

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Solution

The fourth proportional to 64,703.14, 97,054.68 and 17,956 is: 26,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,703.14 : 97,054.68 = 17,956 : x
  2. Step 2: Convert to fraction form
    64,703.14/97,054.68 = 17,956/x
  3. Step 3: Cross multiply
    64,703.14x = 97,054.68 × 17,956
  4. Step 4: Simplify right side
    64,703.14x = 1,742,713,834.08
  5. Step 5: Solve for x
    x = 1,742,713,834.08/64,703.14
  6. Step 6: Final answer
    x = 26,933.99

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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.