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Finding the Fourth Proportional to 35,911.61, 53,870.30 and 9,616.13

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Solution

The fourth proportional to 35,911.61, 53,870.30 and 9,616.13 is: 14,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,911.61 : 53,870.30 = 9,616.13 : x
  2. Step 2: Convert to fraction form
    35,911.61/53,870.30 = 9,616.13/x
  3. Step 3: Cross multiply
    35,911.61x = 53,870.30 × 9,616.13
  4. Step 4: Simplify right side
    35,911.61x = 518,023,807.94
  5. Step 5: Solve for x
    x = 518,023,807.94/35,911.61
  6. Step 6: Final answer
    x = 14,424.97

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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.