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Finding the Fourth Proportional to 30,098.34, 45,146.88 and 7,913.16

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Solution

The fourth proportional to 30,098.34, 45,146.88 and 7,913.16 is: 11,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.34 : 45,146.88 = 7,913.16 : x
  2. Step 2: Convert to fraction form
    30,098.34/45,146.88 = 7,913.16/x
  3. Step 3: Cross multiply
    30,098.34x = 45,146.88 × 7,913.16
  4. Step 4: Simplify right side
    30,098.34x = 357,254,484.94
  5. Step 5: Solve for x
    x = 357,254,484.94/30,098.34
  6. Step 6: Final answer
    x = 11,869.57

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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.