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Finding the Fourth Proportional to 46,854.50, 70,289.06 and 15,257.10

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Solution

The fourth proportional to 46,854.50, 70,289.06 and 15,257.10 is: 22,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,854.50 : 70,289.06 = 15,257.10 : x
  2. Step 2: Convert to fraction form
    46,854.50/70,289.06 = 15,257.10/x
  3. Step 3: Cross multiply
    46,854.50x = 70,289.06 × 15,257.10
  4. Step 4: Simplify right side
    46,854.50x = 1,072,407,141.04
  5. Step 5: Solve for x
    x = 1,072,407,141.04/46,854.50
  6. Step 6: Final answer
    x = 22,888.03

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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.