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Finding the Fourth Proportional to 46,698.71, 70,040.52 and 13,411.20

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Solution

The fourth proportional to 46,698.71, 70,040.52 and 13,411.20 is: 20,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698.71 : 70,040.52 = 13,411.20 : x
  2. Step 2: Convert to fraction form
    46,698.71/70,040.52 = 13,411.20/x
  3. Step 3: Cross multiply
    46,698.71x = 70,040.52 × 13,411.20
  4. Step 4: Simplify right side
    46,698.71x = 939,327,421.82
  5. Step 5: Solve for x
    x = 939,327,421.82/46,698.71
  6. Step 6: Final answer
    x = 20,114.64

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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.