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Finding the Fourth Proportional to 35,176.64, 52,776 and 15,471.76

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Solution

The fourth proportional to 35,176.64, 52,776 and 15,471.76 is: 23,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,176.64 : 52,776 = 15,471.76 : x
  2. Step 2: Convert to fraction form
    35,176.64/52,776 = 15,471.76/x
  3. Step 3: Cross multiply
    35,176.64x = 52,776 × 15,471.76
  4. Step 4: Simplify right side
    35,176.64x = 816,537,605.76
  5. Step 5: Solve for x
    x = 816,537,605.76/35,176.64
  6. Step 6: Final answer
    x = 23,212.50

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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.