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Finding the Fourth Proportional to 30,097.31, 41,533.16 and 16,667.51

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Solution

The fourth proportional to 30,097.31, 41,533.16 and 16,667.51 is: 23,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.31 : 41,533.16 = 16,667.51 : x
  2. Step 2: Convert to fraction form
    30,097.31/41,533.16 = 16,667.51/x
  3. Step 3: Cross multiply
    30,097.31x = 41,533.16 × 16,667.51
  4. Step 4: Simplify right side
    30,097.31x = 692,254,068.63
  5. Step 5: Solve for x
    x = 692,254,068.63/30,097.31
  6. Step 6: Final answer
    x = 23,000.53

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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.