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Finding the Fourth Proportional to 47,464, 65,501.46 and 30,726.16

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Solution

The fourth proportional to 47,464, 65,501.46 and 30,726.16 is: 42,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,464 : 65,501.46 = 30,726.16 : x
  2. Step 2: Convert to fraction form
    47,464/65,501.46 = 30,726.16/x
  3. Step 3: Cross multiply
    47,464x = 65,501.46 × 30,726.16
  4. Step 4: Simplify right side
    47,464x = 2,012,608,340.19
  5. Step 5: Solve for x
    x = 2,012,608,340.19/47,464
  6. Step 6: Final answer
    x = 42,402.84

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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.