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Finding the Fourth Proportional to 46,407.60, 69,715.08 and 44,658

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Solution

The fourth proportional to 46,407.60, 69,715.08 and 44,658 is: 67,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,407.60 : 69,715.08 = 44,658 : x
  2. Step 2: Convert to fraction form
    46,407.60/69,715.08 = 44,658/x
  3. Step 3: Cross multiply
    46,407.60x = 69,715.08 × 44,658
  4. Step 4: Simplify right side
    46,407.60x = 3,113,336,042.64
  5. Step 5: Solve for x
    x = 3,113,336,042.64/46,407.60
  6. Step 6: Final answer
    x = 67,086.77

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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.