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Finding the Fourth Proportional to 46,695.02, 70,043.01 and 13,415

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Solution

The fourth proportional to 46,695.02, 70,043.01 and 13,415 is: 20,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,695.02 : 70,043.01 = 13,415 : x
  2. Step 2: Convert to fraction form
    46,695.02/70,043.01 = 13,415/x
  3. Step 3: Cross multiply
    46,695.02x = 70,043.01 × 13,415
  4. Step 4: Simplify right side
    46,695.02x = 939,626,979.15
  5. Step 5: Solve for x
    x = 939,626,979.15/46,695.02
  6. Step 6: Final answer
    x = 20,122.64

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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.