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Finding the Fourth Proportional to 35,081, 52,630.62 and 10,457

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Solution

The fourth proportional to 35,081, 52,630.62 and 10,457 is: 15,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,081 : 52,630.62 = 10,457 : x
  2. Step 2: Convert to fraction form
    35,081/52,630.62 = 10,457/x
  3. Step 3: Cross multiply
    35,081x = 52,630.62 × 10,457
  4. Step 4: Simplify right side
    35,081x = 550,358,393.34
  5. Step 5: Solve for x
    x = 550,358,393.34/35,081
  6. Step 6: Final answer
    x = 15,688.22

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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.