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Finding the Fourth Proportional to 60,433.40, 83,410.02 and 38,615.72

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Solution

The fourth proportional to 60,433.40, 83,410.02 and 38,615.72 is: 53,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,433.40 : 83,410.02 = 38,615.72 : x
  2. Step 2: Convert to fraction form
    60,433.40/83,410.02 = 38,615.72/x
  3. Step 3: Cross multiply
    60,433.40x = 83,410.02 × 38,615.72
  4. Step 4: Simplify right side
    60,433.40x = 3,220,937,977.51
  5. Step 5: Solve for x
    x = 3,220,937,977.51/60,433.40
  6. Step 6: Final answer
    x = 53,297.32

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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.