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Finding the Fourth Proportional to 97,438.82, 134,465.94 and 52,726.82

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Solution

The fourth proportional to 97,438.82, 134,465.94 and 52,726.82 is: 72,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,438.82 : 134,465.94 = 52,726.82 : x
  2. Step 2: Convert to fraction form
    97,438.82/134,465.94 = 52,726.82/x
  3. Step 3: Cross multiply
    97,438.82x = 134,465.94 × 52,726.82
  4. Step 4: Simplify right side
    97,438.82x = 7,089,960,742.18
  5. Step 5: Solve for x
    x = 7,089,960,742.18/97,438.82
  6. Step 6: Final answer
    x = 72,763.21

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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.