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Finding the Fourth Proportional to 30,618.04, 45,925.98 and 9,841

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Solution

The fourth proportional to 30,618.04, 45,925.98 and 9,841 is: 14,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618.04 : 45,925.98 = 9,841 : x
  2. Step 2: Convert to fraction form
    30,618.04/45,925.98 = 9,841/x
  3. Step 3: Cross multiply
    30,618.04x = 45,925.98 × 9,841
  4. Step 4: Simplify right side
    30,618.04x = 451,957,569.18
  5. Step 5: Solve for x
    x = 451,957,569.18/30,618.04
  6. Step 6: Final answer
    x = 14,761.15

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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.