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Finding the Fourth Proportional to 38,003.58, 52,459.74 and 34,017.80

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Solution

The fourth proportional to 38,003.58, 52,459.74 and 34,017.80 is: 46,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003.58 : 52,459.74 = 34,017.80 : x
  2. Step 2: Convert to fraction form
    38,003.58/52,459.74 = 34,017.80/x
  3. Step 3: Cross multiply
    38,003.58x = 52,459.74 × 34,017.80
  4. Step 4: Simplify right side
    38,003.58x = 1,784,564,681.07
  5. Step 5: Solve for x
    x = 1,784,564,681.07/38,003.58
  6. Step 6: Final answer
    x = 46,957.80

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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.