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Finding the Fourth Proportional to 35,412.66, 53,082.54 and 15,700.50

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Solution

The fourth proportional to 35,412.66, 53,082.54 and 15,700.50 is: 23,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412.66 : 53,082.54 = 15,700.50 : x
  2. Step 2: Convert to fraction form
    35,412.66/53,082.54 = 15,700.50/x
  3. Step 3: Cross multiply
    35,412.66x = 53,082.54 × 15,700.50
  4. Step 4: Simplify right side
    35,412.66x = 833,422,419.27
  5. Step 5: Solve for x
    x = 833,422,419.27/35,412.66
  6. Step 6: Final answer
    x = 23,534.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.