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Finding the Fourth Proportional to 64,700.26, 97,049.82 and 17,953.14

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Solution

The fourth proportional to 64,700.26, 97,049.82 and 17,953.14 is: 26,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,700.26 : 97,049.82 = 17,953.14 : x
  2. Step 2: Convert to fraction form
    64,700.26/97,049.82 = 17,953.14/x
  3. Step 3: Cross multiply
    64,700.26x = 97,049.82 × 17,953.14
  4. Step 4: Simplify right side
    64,700.26x = 1,742,349,005.43
  5. Step 5: Solve for x
    x = 1,742,349,005.43/64,700.26
  6. Step 6: Final answer
    x = 26,929.55

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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.