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Finding the Fourth Proportional to 30,678.68, 46,017.97 and 8,492.00

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Solution

The fourth proportional to 30,678.68, 46,017.97 and 8,492.00 is: 12,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.68 : 46,017.97 = 8,492.00 : x
  2. Step 2: Convert to fraction form
    30,678.68/46,017.97 = 8,492.00/x
  3. Step 3: Cross multiply
    30,678.68x = 46,017.97 × 8,492.00
  4. Step 4: Simplify right side
    30,678.68x = 390,784,349.92
  5. Step 5: Solve for x
    x = 390,784,349.92/30,678.68
  6. Step 6: Final answer
    x = 12,737.98

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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.