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Finding the Fourth Proportional to 30,782.48, 46,042.50 and 18,907.07

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Solution

The fourth proportional to 30,782.48, 46,042.50 and 18,907.07 is: 28,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.48 : 46,042.50 = 18,907.07 : x
  2. Step 2: Convert to fraction form
    30,782.48/46,042.50 = 18,907.07/x
  3. Step 3: Cross multiply
    30,782.48x = 46,042.50 × 18,907.07
  4. Step 4: Simplify right side
    30,782.48x = 870,528,816.98
  5. Step 5: Solve for x
    x = 870,528,816.98/30,782.48
  6. Step 6: Final answer
    x = 28,280.01

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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.