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Finding the Fourth Proportional to 46,746, 70,119.02 and 13,914

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Solution

The fourth proportional to 46,746, 70,119.02 and 13,914 is: 20,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746 : 70,119.02 = 13,914 : x
  2. Step 2: Convert to fraction form
    46,746/70,119.02 = 13,914/x
  3. Step 3: Cross multiply
    46,746x = 70,119.02 × 13,914
  4. Step 4: Simplify right side
    46,746x = 975,636,044.28
  5. Step 5: Solve for x
    x = 975,636,044.28/46,746
  6. Step 6: Final answer
    x = 20,871.01

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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.