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Finding the Fourth Proportional to 28,455.47, 42,681.59 and 8,734

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Solution

The fourth proportional to 28,455.47, 42,681.59 and 8,734 is: 13,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,455.47 : 42,681.59 = 8,734 : x
  2. Step 2: Convert to fraction form
    28,455.47/42,681.59 = 8,734/x
  3. Step 3: Cross multiply
    28,455.47x = 42,681.59 × 8,734
  4. Step 4: Simplify right side
    28,455.47x = 372,781,007.06
  5. Step 5: Solve for x
    x = 372,781,007.06/28,455.47
  6. Step 6: Final answer
    x = 13,100.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.