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Finding the Fourth Proportional to 30,501.86, 45,693.19 and 21,012.50

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Solution

The fourth proportional to 30,501.86, 45,693.19 and 21,012.50 is: 31,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501.86 : 45,693.19 = 21,012.50 : x
  2. Step 2: Convert to fraction form
    30,501.86/45,693.19 = 21,012.50/x
  3. Step 3: Cross multiply
    30,501.86x = 45,693.19 × 21,012.50
  4. Step 4: Simplify right side
    30,501.86x = 960,128,112.22
  5. Step 5: Solve for x
    x = 960,128,112.22/30,501.86
  6. Step 6: Final answer
    x = 31,477.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.