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Finding the Fourth Proportional to 70,582.57, 97,403.52 and 38,317.84

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Solution

The fourth proportional to 70,582.57, 97,403.52 and 38,317.84 is: 52,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582.57 : 97,403.52 = 38,317.84 : x
  2. Step 2: Convert to fraction form
    70,582.57/97,403.52 = 38,317.84/x
  3. Step 3: Cross multiply
    70,582.57x = 97,403.52 × 38,317.84
  4. Step 4: Simplify right side
    70,582.57x = 3,732,292,494.80
  5. Step 5: Solve for x
    x = 3,732,292,494.80/70,582.57
  6. Step 6: Final answer
    x = 52,878.39

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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.