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Finding the Fourth Proportional to 46,925.68, 70,393.10 and 13,646

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Solution

The fourth proportional to 46,925.68, 70,393.10 and 13,646 is: 20,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,925.68 : 70,393.10 = 13,646 : x
  2. Step 2: Convert to fraction form
    46,925.68/70,393.10 = 13,646/x
  3. Step 3: Cross multiply
    46,925.68x = 70,393.10 × 13,646
  4. Step 4: Simplify right side
    46,925.68x = 960,584,242.60
  5. Step 5: Solve for x
    x = 960,584,242.60/46,925.68
  6. Step 6: Final answer
    x = 20,470.33

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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.