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Finding the Fourth Proportional to 48,971, 73,461.72 and 15,679.16

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Solution

The fourth proportional to 48,971, 73,461.72 and 15,679.16 is: 23,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,971 : 73,461.72 = 15,679.16 : x
  2. Step 2: Convert to fraction form
    48,971/73,461.72 = 15,679.16/x
  3. Step 3: Cross multiply
    48,971x = 73,461.72 × 15,679.16
  4. Step 4: Simplify right side
    48,971x = 1,151,818,061.76
  5. Step 5: Solve for x
    x = 1,151,818,061.76/48,971
  6. Step 6: Final answer
    x = 23,520.41

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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.