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Finding the Fourth Proportional to 30,349.60, 45,538.16 and 13,700.64

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Solution

The fourth proportional to 30,349.60, 45,538.16 and 13,700.64 is: 20,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,349.60 : 45,538.16 = 13,700.64 : x
  2. Step 2: Convert to fraction form
    30,349.60/45,538.16 = 13,700.64/x
  3. Step 3: Cross multiply
    30,349.60x = 45,538.16 × 13,700.64
  4. Step 4: Simplify right side
    30,349.60x = 623,901,936.42
  5. Step 5: Solve for x
    x = 623,901,936.42/30,349.60
  6. Step 6: Final answer
    x = 20,557.17

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