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Finding the Fourth Proportional to 64,252.96, 96,368.90 and 17,509.48

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Solution

The fourth proportional to 64,252.96, 96,368.90 and 17,509.48 is: 26,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,252.96 : 96,368.90 = 17,509.48 : x
  2. Step 2: Convert to fraction form
    64,252.96/96,368.90 = 17,509.48/x
  3. Step 3: Cross multiply
    64,252.96x = 96,368.90 × 17,509.48
  4. Step 4: Simplify right side
    64,252.96x = 1,687,369,327.17
  5. Step 5: Solve for x
    x = 1,687,369,327.17/64,252.96
  6. Step 6: Final answer
    x = 26,261.35

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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.