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Finding the Fourth Proportional to 30,913.16, 46,373.14 and 9,848.30

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Solution

The fourth proportional to 30,913.16, 46,373.14 and 9,848.30 is: 14,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.16 : 46,373.14 = 9,848.30 : x
  2. Step 2: Convert to fraction form
    30,913.16/46,373.14 = 9,848.30/x
  3. Step 3: Cross multiply
    30,913.16x = 46,373.14 × 9,848.30
  4. Step 4: Simplify right side
    30,913.16x = 456,696,362.80
  5. Step 5: Solve for x
    x = 456,696,362.80/30,913.16
  6. Step 6: Final answer
    x = 14,773.53

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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.