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Finding the Fourth Proportional to 33,547, 46,283.06 and 20,122.60

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Solution

The fourth proportional to 33,547, 46,283.06 and 20,122.60 is: 27,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547 : 46,283.06 = 20,122.60 : x
  2. Step 2: Convert to fraction form
    33,547/46,283.06 = 20,122.60/x
  3. Step 3: Cross multiply
    33,547x = 46,283.06 × 20,122.60
  4. Step 4: Simplify right side
    33,547x = 931,335,503.16
  5. Step 5: Solve for x
    x = 931,335,503.16/33,547
  6. Step 6: Final answer
    x = 27,762.11

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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.