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Finding the Fourth Proportional to 30,762.95, 46,108.42 and 14,124.59

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Solution

The fourth proportional to 30,762.95, 46,108.42 and 14,124.59 is: 21,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.95 : 46,108.42 = 14,124.59 : x
  2. Step 2: Convert to fraction form
    30,762.95/46,108.42 = 14,124.59/x
  3. Step 3: Cross multiply
    30,762.95x = 46,108.42 × 14,124.59
  4. Step 4: Simplify right side
    30,762.95x = 651,262,528.05
  5. Step 5: Solve for x
    x = 651,262,528.05/30,762.95
  6. Step 6: Final answer
    x = 21,170.35

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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.