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Finding the Fourth Proportional to 43,509.48, 60,052.74 and 24,657

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Solution

The fourth proportional to 43,509.48, 60,052.74 and 24,657 is: 34,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,509.48 : 60,052.74 = 24,657 : x
  2. Step 2: Convert to fraction form
    43,509.48/60,052.74 = 24,657/x
  3. Step 3: Cross multiply
    43,509.48x = 60,052.74 × 24,657
  4. Step 4: Simplify right side
    43,509.48x = 1,480,720,410.18
  5. Step 5: Solve for x
    x = 1,480,720,410.18/43,509.48
  6. Step 6: Final answer
    x = 34,032.13

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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.