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Finding the Fourth Proportional to 32,522, 44,880.36 and 17,618

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Solution

The fourth proportional to 32,522, 44,880.36 and 17,618 is: 24,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522 : 44,880.36 = 17,618 : x
  2. Step 2: Convert to fraction form
    32,522/44,880.36 = 17,618/x
  3. Step 3: Cross multiply
    32,522x = 44,880.36 × 17,618
  4. Step 4: Simplify right side
    32,522x = 790,702,182.48
  5. Step 5: Solve for x
    x = 790,702,182.48/32,522
  6. Step 6: Final answer
    x = 24,312.84

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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.