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Finding the Fourth Proportional to 30,677.57, 46,030.48 and 14,042.70

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Solution

The fourth proportional to 30,677.57, 46,030.48 and 14,042.70 is: 21,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.57 : 46,030.48 = 14,042.70 : x
  2. Step 2: Convert to fraction form
    30,677.57/46,030.48 = 14,042.70/x
  3. Step 3: Cross multiply
    30,677.57x = 46,030.48 × 14,042.70
  4. Step 4: Simplify right side
    30,677.57x = 646,392,186.39
  5. Step 5: Solve for x
    x = 646,392,186.39/30,677.57
  6. Step 6: Final answer
    x = 21,070.52

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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.