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Finding the Fourth Proportional to 30,866.50, 42,598.38 and 17,440.22

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Solution

The fourth proportional to 30,866.50, 42,598.38 and 17,440.22 is: 24,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.50 : 42,598.38 = 17,440.22 : x
  2. Step 2: Convert to fraction form
    30,866.50/42,598.38 = 17,440.22/x
  3. Step 3: Cross multiply
    30,866.50x = 42,598.38 × 17,440.22
  4. Step 4: Simplify right side
    30,866.50x = 742,925,118.84
  5. Step 5: Solve for x
    x = 742,925,118.84/30,866.50
  6. Step 6: Final answer
    x = 24,068.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.