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Finding the Fourth Proportional to 34,042.90, 46,978.52 and 18,935.24

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Solution

The fourth proportional to 34,042.90, 46,978.52 and 18,935.24 is: 26,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,042.90 : 46,978.52 = 18,935.24 : x
  2. Step 2: Convert to fraction form
    34,042.90/46,978.52 = 18,935.24/x
  3. Step 3: Cross multiply
    34,042.90x = 46,978.52 × 18,935.24
  4. Step 4: Simplify right side
    34,042.90x = 889,549,316.15
  5. Step 5: Solve for x
    x = 889,549,316.15/34,042.90
  6. Step 6: Final answer
    x = 26,130.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.