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Finding the Fourth Proportional to 30,085.70, 45,129.59 and 14,282.58

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Solution

The fourth proportional to 30,085.70, 45,129.59 and 14,282.58 is: 21,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085.70 : 45,129.59 = 14,282.58 : x
  2. Step 2: Convert to fraction form
    30,085.70/45,129.59 = 14,282.58/x
  3. Step 3: Cross multiply
    30,085.70x = 45,129.59 × 14,282.58
  4. Step 4: Simplify right side
    30,085.70x = 644,566,908.13
  5. Step 5: Solve for x
    x = 644,566,908.13/30,085.70
  6. Step 6: Final answer
    x = 21,424.36

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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.