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Finding the Fourth Proportional to 32,092.61, 48,130.68 and 9,597.95

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Solution

The fourth proportional to 32,092.61, 48,130.68 and 9,597.95 is: 14,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.61 : 48,130.68 = 9,597.95 : x
  2. Step 2: Convert to fraction form
    32,092.61/48,130.68 = 9,597.95/x
  3. Step 3: Cross multiply
    32,092.61x = 48,130.68 × 9,597.95
  4. Step 4: Simplify right side
    32,092.61x = 461,955,619.45
  5. Step 5: Solve for x
    x = 461,955,619.45/32,092.61
  6. Step 6: Final answer
    x = 14,394.46

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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.