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Finding the Fourth Proportional to 46,837.40, 70,256.16 and 19,135.40

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Solution

The fourth proportional to 46,837.40, 70,256.16 and 19,135.40 is: 28,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,837.40 : 70,256.16 = 19,135.40 : x
  2. Step 2: Convert to fraction form
    46,837.40/70,256.16 = 19,135.40/x
  3. Step 3: Cross multiply
    46,837.40x = 70,256.16 × 19,135.40
  4. Step 4: Simplify right side
    46,837.40x = 1,344,379,724.06
  5. Step 5: Solve for x
    x = 1,344,379,724.06/46,837.40
  6. Step 6: Final answer
    x = 28,703.12

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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.