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Finding the Fourth Proportional to 70,582.87, 97,403.14 and 38,751.54

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Solution

The fourth proportional to 70,582.87, 97,403.14 and 38,751.54 is: 53,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582.87 : 97,403.14 = 38,751.54 : x
  2. Step 2: Convert to fraction form
    70,582.87/97,403.14 = 38,751.54/x
  3. Step 3: Cross multiply
    70,582.87x = 97,403.14 × 38,751.54
  4. Step 4: Simplify right side
    70,582.87x = 3,774,521,675.84
  5. Step 5: Solve for x
    x = 3,774,521,675.84/70,582.87
  6. Step 6: Final answer
    x = 53,476.46

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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.