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Finding the Fourth Proportional to 52,107.46, 78,152.02 and 14,658.64

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Solution

The fourth proportional to 52,107.46, 78,152.02 and 14,658.64 is: 21,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.46 : 78,152.02 = 14,658.64 : x
  2. Step 2: Convert to fraction form
    52,107.46/78,152.02 = 14,658.64/x
  3. Step 3: Cross multiply
    52,107.46x = 78,152.02 × 14,658.64
  4. Step 4: Simplify right side
    52,107.46x = 1,145,602,326.45
  5. Step 5: Solve for x
    x = 1,145,602,326.45/52,107.46
  6. Step 6: Final answer
    x = 21,985.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.