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Finding the Fourth Proportional to 64,842.56, 97,263.87 and 17,457.76

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Solution

The fourth proportional to 64,842.56, 97,263.87 and 17,457.76 is: 26,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,842.56 : 97,263.87 = 17,457.76 : x
  2. Step 2: Convert to fraction form
    64,842.56/97,263.87 = 17,457.76/x
  3. Step 3: Cross multiply
    64,842.56x = 97,263.87 × 17,457.76
  4. Step 4: Simplify right side
    64,842.56x = 1,698,008,725.52
  5. Step 5: Solve for x
    x = 1,698,008,725.52/64,842.56
  6. Step 6: Final answer
    x = 26,186.64

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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.