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Finding the Fourth Proportional to 46,988.70, 70,475.54 and 13,700.99

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Solution

The fourth proportional to 46,988.70, 70,475.54 and 13,700.99 is: 20,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,988.70 : 70,475.54 = 13,700.99 : x
  2. Step 2: Convert to fraction form
    46,988.70/70,475.54 = 13,700.99/x
  3. Step 3: Cross multiply
    46,988.70x = 70,475.54 × 13,700.99
  4. Step 4: Simplify right side
    46,988.70x = 965,584,247.90
  5. Step 5: Solve for x
    x = 965,584,247.90/46,988.70
  6. Step 6: Final answer
    x = 20,549.29

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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.