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Finding the Fourth Proportional to 35,712, 49,282.56 and 19,798.88

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Solution

The fourth proportional to 35,712, 49,282.56 and 19,798.88 is: 27,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712 : 49,282.56 = 19,798.88 : x
  2. Step 2: Convert to fraction form
    35,712/49,282.56 = 19,798.88/x
  3. Step 3: Cross multiply
    35,712x = 49,282.56 × 19,798.88
  4. Step 4: Simplify right side
    35,712x = 975,739,245.12
  5. Step 5: Solve for x
    x = 975,739,245.12/35,712
  6. Step 6: Final answer
    x = 27,322.45

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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.