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Finding the Fourth Proportional to 46,862.34, 70,106.89 and 40,695

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Solution

The fourth proportional to 46,862.34, 70,106.89 and 40,695 is: 60,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,862.34 : 70,106.89 = 40,695 : x
  2. Step 2: Convert to fraction form
    46,862.34/70,106.89 = 40,695/x
  3. Step 3: Cross multiply
    46,862.34x = 70,106.89 × 40,695
  4. Step 4: Simplify right side
    46,862.34x = 2,852,999,888.55
  5. Step 5: Solve for x
    x = 2,852,999,888.55/46,862.34
  6. Step 6: Final answer
    x = 60,880.44

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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.