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Finding the Fourth Proportional to 30,741.60, 46,097.16 and 9,962.40

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Solution

The fourth proportional to 30,741.60, 46,097.16 and 9,962.40 is: 14,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.60 : 46,097.16 = 9,962.40 : x
  2. Step 2: Convert to fraction form
    30,741.60/46,097.16 = 9,962.40/x
  3. Step 3: Cross multiply
    30,741.60x = 46,097.16 × 9,962.40
  4. Step 4: Simplify right side
    30,741.60x = 459,238,346.78
  5. Step 5: Solve for x
    x = 459,238,346.78/30,741.60
  6. Step 6: Final answer
    x = 14,938.66

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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.