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Finding the Fourth Proportional to 30,838.40, 46,224.48 and 13,316.48

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Solution

The fourth proportional to 30,838.40, 46,224.48 and 13,316.48 is: 19,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.40 : 46,224.48 = 13,316.48 : x
  2. Step 2: Convert to fraction form
    30,838.40/46,224.48 = 13,316.48/x
  3. Step 3: Cross multiply
    30,838.40x = 46,224.48 × 13,316.48
  4. Step 4: Simplify right side
    30,838.40x = 615,547,363.43
  5. Step 5: Solve for x
    x = 615,547,363.43/30,838.40
  6. Step 6: Final answer
    x = 19,960.42

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1.5x scale

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.