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Finding the Fourth Proportional to 46,461.63, 69,692.82 and 14,871.93

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Solution

The fourth proportional to 46,461.63, 69,692.82 and 14,871.93 is: 22,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,461.63 : 69,692.82 = 14,871.93 : x
  2. Step 2: Convert to fraction form
    46,461.63/69,692.82 = 14,871.93/x
  3. Step 3: Cross multiply
    46,461.63x = 69,692.82 × 14,871.93
  4. Step 4: Simplify right side
    46,461.63x = 1,036,466,740.54
  5. Step 5: Solve for x
    x = 1,036,466,740.54/46,461.63
  6. Step 6: Final answer
    x = 22,308.02

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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.