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Finding the Fourth Proportional to 46,730, 70,095 and 13,898

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Solution

The fourth proportional to 46,730, 70,095 and 13,898 is: 20,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,730 : 70,095 = 13,898 : x
  2. Step 2: Convert to fraction form
    46,730/70,095 = 13,898/x
  3. Step 3: Cross multiply
    46,730x = 70,095 × 13,898
  4. Step 4: Simplify right side
    46,730x = 974,180,310
  5. Step 5: Solve for x
    x = 974,180,310/46,730
  6. Step 6: Final answer
    x = 20,847

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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.