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Finding the Fourth Proportional to 46,955.24, 70,418 and 15,358

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Solution

The fourth proportional to 46,955.24, 70,418 and 15,358 is: 23,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,955.24 : 70,418 = 15,358 : x
  2. Step 2: Convert to fraction form
    46,955.24/70,418 = 15,358/x
  3. Step 3: Cross multiply
    46,955.24x = 70,418 × 15,358
  4. Step 4: Simplify right side
    46,955.24x = 1,081,479,644
  5. Step 5: Solve for x
    x = 1,081,479,644/46,955.24
  6. Step 6: Final answer
    x = 23,032.14

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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.