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Finding the Fourth Proportional to 46,288, 69,417.60 and 16,701.96

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Solution

The fourth proportional to 46,288, 69,417.60 and 16,701.96 is: 25,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,288 : 69,417.60 = 16,701.96 : x
  2. Step 2: Convert to fraction form
    46,288/69,417.60 = 16,701.96/x
  3. Step 3: Cross multiply
    46,288x = 69,417.60 × 16,701.96
  4. Step 4: Simplify right side
    46,288x = 1,159,409,978.50
  5. Step 5: Solve for x
    x = 1,159,409,978.50/46,288
  6. Step 6: Final answer
    x = 25,047.74

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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.