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Finding the Fourth Proportional to 35,487.76, 53,225.88 and 10,858

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Solution

The fourth proportional to 35,487.76, 53,225.88 and 10,858 is: 16,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,487.76 : 53,225.88 = 10,858 : x
  2. Step 2: Convert to fraction form
    35,487.76/53,225.88 = 10,858/x
  3. Step 3: Cross multiply
    35,487.76x = 53,225.88 × 10,858
  4. Step 4: Simplify right side
    35,487.76x = 577,926,605.04
  5. Step 5: Solve for x
    x = 577,926,605.04/35,487.76
  6. Step 6: Final answer
    x = 16,285.24

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Why These Related Problems?

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