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Finding the Fourth Proportional to 46,250, 69,386.52 and 13,418

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Solution

The fourth proportional to 46,250, 69,386.52 and 13,418 is: 20,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,250 : 69,386.52 = 13,418 : x
  2. Step 2: Convert to fraction form
    46,250/69,386.52 = 13,418/x
  3. Step 3: Cross multiply
    46,250x = 69,386.52 × 13,418
  4. Step 4: Simplify right side
    46,250x = 931,028,325.36
  5. Step 5: Solve for x
    x = 931,028,325.36/46,250
  6. Step 6: Final answer
    x = 20,130.34

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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.