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Finding the Fourth Proportional to 45,462, 62,746.26 and 25,590

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Solution

The fourth proportional to 45,462, 62,746.26 and 25,590 is: 35,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,462 : 62,746.26 = 25,590 : x
  2. Step 2: Convert to fraction form
    45,462/62,746.26 = 25,590/x
  3. Step 3: Cross multiply
    45,462x = 62,746.26 × 25,590
  4. Step 4: Simplify right side
    45,462x = 1,605,676,793.40
  5. Step 5: Solve for x
    x = 1,605,676,793.40/45,462
  6. Step 6: Final answer
    x = 35,319.10

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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.