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Finding the Fourth Proportional to 44,142, 60,915.96 and 24,270

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Solution

The fourth proportional to 44,142, 60,915.96 and 24,270 is: 33,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,142 : 60,915.96 = 24,270 : x
  2. Step 2: Convert to fraction form
    44,142/60,915.96 = 24,270/x
  3. Step 3: Cross multiply
    44,142x = 60,915.96 × 24,270
  4. Step 4: Simplify right side
    44,142x = 1,478,430,349.20
  5. Step 5: Solve for x
    x = 1,478,430,349.20/44,142
  6. Step 6: Final answer
    x = 33,492.60

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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.