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Finding the Fourth Proportional to 67,798, 93,561.24 and 39,509.16

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Solution

The fourth proportional to 67,798, 93,561.24 and 39,509.16 is: 54,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,798 : 93,561.24 = 39,509.16 : x
  2. Step 2: Convert to fraction form
    67,798/93,561.24 = 39,509.16/x
  3. Step 3: Cross multiply
    67,798x = 93,561.24 × 39,509.16
  4. Step 4: Simplify right side
    67,798x = 3,696,526,000.96
  5. Step 5: Solve for x
    x = 3,696,526,000.96/67,798
  6. Step 6: Final answer
    x = 54,522.64

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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.