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Finding the Fourth Proportional to 30,598.84, 45,902.55 and 9,540.46

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Solution

The fourth proportional to 30,598.84, 45,902.55 and 9,540.46 is: 14,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.84 : 45,902.55 = 9,540.46 : x
  2. Step 2: Convert to fraction form
    30,598.84/45,902.55 = 9,540.46/x
  3. Step 3: Cross multiply
    30,598.84x = 45,902.55 × 9,540.46
  4. Step 4: Simplify right side
    30,598.84x = 437,931,442.17
  5. Step 5: Solve for x
    x = 437,931,442.17/30,598.84
  6. Step 6: Final answer
    x = 14,312.03

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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.