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Finding the Fourth Proportional to 35,457.48, 48,928.62 and 19,542

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Solution

The fourth proportional to 35,457.48, 48,928.62 and 19,542 is: 26,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,457.48 : 48,928.62 = 19,542 : x
  2. Step 2: Convert to fraction form
    35,457.48/48,928.62 = 19,542/x
  3. Step 3: Cross multiply
    35,457.48x = 48,928.62 × 19,542
  4. Step 4: Simplify right side
    35,457.48x = 956,163,092.04
  5. Step 5: Solve for x
    x = 956,163,092.04/35,457.48
  6. Step 6: Final answer
    x = 26,966.47

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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.