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Finding the Fourth Proportional to 35,701.62, 53,567.12 and 15,700.82

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Solution

The fourth proportional to 35,701.62, 53,567.12 and 15,700.82 is: 23,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.62 : 53,567.12 = 15,700.82 : x
  2. Step 2: Convert to fraction form
    35,701.62/53,567.12 = 15,700.82/x
  3. Step 3: Cross multiply
    35,701.62x = 53,567.12 × 15,700.82
  4. Step 4: Simplify right side
    35,701.62x = 841,047,709.04
  5. Step 5: Solve for x
    x = 841,047,709.04/35,701.62
  6. Step 6: Final answer
    x = 23,557.69

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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.