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Finding the Fourth Proportional to 44,174.16, 66,259.08 and 16,470

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Solution

The fourth proportional to 44,174.16, 66,259.08 and 16,470 is: 24,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,174.16 : 66,259.08 = 16,470 : x
  2. Step 2: Convert to fraction form
    44,174.16/66,259.08 = 16,470/x
  3. Step 3: Cross multiply
    44,174.16x = 66,259.08 × 16,470
  4. Step 4: Simplify right side
    44,174.16x = 1,091,287,047.60
  5. Step 5: Solve for x
    x = 1,091,287,047.60/44,174.16
  6. Step 6: Final answer
    x = 24,704.19

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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.