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Finding the Fourth Proportional to 30,486.16, 42,077.64 and 18,550

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Solution

The fourth proportional to 30,486.16, 42,077.64 and 18,550 is: 25,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486.16 : 42,077.64 = 18,550 : x
  2. Step 2: Convert to fraction form
    30,486.16/42,077.64 = 18,550/x
  3. Step 3: Cross multiply
    30,486.16x = 42,077.64 × 18,550
  4. Step 4: Simplify right side
    30,486.16x = 780,540,222
  5. Step 5: Solve for x
    x = 780,540,222/30,486.16
  6. Step 6: Final answer
    x = 25,603.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.