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Finding the Fourth Proportional to 70,413, 97,169.94 and 38,583.15

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Solution

The fourth proportional to 70,413, 97,169.94 and 38,583.15 is: 53,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,413 : 97,169.94 = 38,583.15 : x
  2. Step 2: Convert to fraction form
    70,413/97,169.94 = 38,583.15/x
  3. Step 3: Cross multiply
    70,413x = 97,169.94 × 38,583.15
  4. Step 4: Simplify right side
    70,413x = 3,749,122,370.51
  5. Step 5: Solve for x
    x = 3,749,122,370.51/70,413
  6. Step 6: Final answer
    x = 53,244.75

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1.5x scale

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.