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Finding the Fourth Proportional to 171,385.04, 257,043 and 46,709.84

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Solution

The fourth proportional to 171,385.04, 257,043 and 46,709.84 is: 70,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,385.04 : 257,043 = 46,709.84 : x
  2. Step 2: Convert to fraction form
    171,385.04/257,043 = 46,709.84/x
  3. Step 3: Cross multiply
    171,385.04x = 257,043 × 46,709.84
  4. Step 4: Simplify right side
    171,385.04x = 12,006,437,403.12
  5. Step 5: Solve for x
    x = 12,006,437,403.12/171,385.04
  6. Step 6: Final answer
    x = 70,055.34

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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.