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Finding the Fourth Proportional to 30,048.48, 45,041.40 and 11,315.64

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Solution

The fourth proportional to 30,048.48, 45,041.40 and 11,315.64 is: 16,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,048.48 : 45,041.40 = 11,315.64 : x
  2. Step 2: Convert to fraction form
    30,048.48/45,041.40 = 11,315.64/x
  3. Step 3: Cross multiply
    30,048.48x = 45,041.40 × 11,315.64
  4. Step 4: Simplify right side
    30,048.48x = 509,672,267.50
  5. Step 5: Solve for x
    x = 509,672,267.50/30,048.48
  6. Step 6: Final answer
    x = 16,961.67

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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.