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Finding the Fourth Proportional to 47,364.16, 65,386.20 and 29,464.98

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Solution

The fourth proportional to 47,364.16, 65,386.20 and 29,464.98 is: 40,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364.16 : 65,386.20 = 29,464.98 : x
  2. Step 2: Convert to fraction form
    47,364.16/65,386.20 = 29,464.98/x
  3. Step 3: Cross multiply
    47,364.16x = 65,386.20 × 29,464.98
  4. Step 4: Simplify right side
    47,364.16x = 1,926,603,075.28
  5. Step 5: Solve for x
    x = 1,926,603,075.28/47,364.16
  6. Step 6: Final answer
    x = 40,676.39

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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.