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Finding the Fourth Proportional to 30,098.34, 45,153.18 and 13,459.08

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Solution

The fourth proportional to 30,098.34, 45,153.18 and 13,459.08 is: 20,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.34 : 45,153.18 = 13,459.08 : x
  2. Step 2: Convert to fraction form
    30,098.34/45,153.18 = 13,459.08/x
  3. Step 3: Cross multiply
    30,098.34x = 45,153.18 × 13,459.08
  4. Step 4: Simplify right side
    30,098.34x = 607,720,261.87
  5. Step 5: Solve for x
    x = 607,720,261.87/30,098.34
  6. Step 6: Final answer
    x = 20,191.16

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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.