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Finding the Fourth Proportional to 69,973.56, 96,564.53 and 38,142.47

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Solution

The fourth proportional to 69,973.56, 96,564.53 and 38,142.47 is: 52,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,973.56 : 96,564.53 = 38,142.47 : x
  2. Step 2: Convert to fraction form
    69,973.56/96,564.53 = 38,142.47/x
  3. Step 3: Cross multiply
    69,973.56x = 96,564.53 × 38,142.47
  4. Step 4: Simplify right side
    69,973.56x = 3,683,209,688.59
  5. Step 5: Solve for x
    x = 3,683,209,688.59/69,973.56
  6. Step 6: Final answer
    x = 52,637.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.