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Finding the Fourth Proportional to 35,789, 53,683.16 and 21,752.90

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Solution

The fourth proportional to 35,789, 53,683.16 and 21,752.90 is: 32,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,789 : 53,683.16 = 21,752.90 : x
  2. Step 2: Convert to fraction form
    35,789/53,683.16 = 21,752.90/x
  3. Step 3: Cross multiply
    35,789x = 53,683.16 × 21,752.90
  4. Step 4: Simplify right side
    35,789x = 1,167,764,411.16
  5. Step 5: Solve for x
    x = 1,167,764,411.16/35,789
  6. Step 6: Final answer
    x = 32,629.14

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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.