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Finding the Fourth Proportional to 30,130.50, 45,211.53 and 21,878.67

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Solution

The fourth proportional to 30,130.50, 45,211.53 and 21,878.67 is: 32,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,130.50 : 45,211.53 = 21,878.67 : x
  2. Step 2: Convert to fraction form
    30,130.50/45,211.53 = 21,878.67/x
  3. Step 3: Cross multiply
    30,130.50x = 45,211.53 × 21,878.67
  4. Step 4: Simplify right side
    30,130.50x = 989,168,145.07
  5. Step 5: Solve for x
    x = 989,168,145.07/30,130.50
  6. Step 6: Final answer
    x = 32,829.46

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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.