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Finding the Fourth Proportional to 70,411.93, 97,166.21 and 38,580.15

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Solution

The fourth proportional to 70,411.93, 97,166.21 and 38,580.15 is: 53,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,411.93 : 97,166.21 = 38,580.15 : x
  2. Step 2: Convert to fraction form
    70,411.93/97,166.21 = 38,580.15/x
  3. Step 3: Cross multiply
    70,411.93x = 97,166.21 × 38,580.15
  4. Step 4: Simplify right side
    70,411.93x = 3,748,686,690.15
  5. Step 5: Solve for x
    x = 3,748,686,690.15/70,411.93
  6. Step 6: Final answer
    x = 53,239.37

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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.