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Finding the Fourth Proportional to 26,046, 39,070.85 and 10,463.63

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Solution

The fourth proportional to 26,046, 39,070.85 and 10,463.63 is: 15,696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,046 : 39,070.85 = 10,463.63 : x
  2. Step 2: Convert to fraction form
    26,046/39,070.85 = 10,463.63/x
  3. Step 3: Cross multiply
    26,046x = 39,070.85 × 10,463.63
  4. Step 4: Simplify right side
    26,046x = 408,822,670.51
  5. Step 5: Solve for x
    x = 408,822,670.51/26,046
  6. Step 6: Final answer
    x = 15,696.18

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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.