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Finding the Fourth Proportional to 35,227.52, 48,617.04 and 19,315

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Solution

The fourth proportional to 35,227.52, 48,617.04 and 19,315 is: 26,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,227.52 : 48,617.04 = 19,315 : x
  2. Step 2: Convert to fraction form
    35,227.52/48,617.04 = 19,315/x
  3. Step 3: Cross multiply
    35,227.52x = 48,617.04 × 19,315
  4. Step 4: Simplify right side
    35,227.52x = 939,038,127.60
  5. Step 5: Solve for x
    x = 939,038,127.60/35,227.52
  6. Step 6: Final answer
    x = 26,656.38

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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.