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Finding the Fourth Proportional to 35,322.02, 48,741.93 and 19,407.14

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Solution

The fourth proportional to 35,322.02, 48,741.93 and 19,407.14 is: 26,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,322.02 : 48,741.93 = 19,407.14 : x
  2. Step 2: Convert to fraction form
    35,322.02/48,741.93 = 19,407.14/x
  3. Step 3: Cross multiply
    35,322.02x = 48,741.93 × 19,407.14
  4. Step 4: Simplify right side
    35,322.02x = 945,941,459.38
  5. Step 5: Solve for x
    x = 945,941,459.38/35,322.02
  6. Step 6: Final answer
    x = 26,780.50

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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.