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Finding the Fourth Proportional to 35,478.64, 53,218.24 and 15,751.92

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Solution

The fourth proportional to 35,478.64, 53,218.24 and 15,751.92 is: 23,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.64 : 53,218.24 = 15,751.92 : x
  2. Step 2: Convert to fraction form
    35,478.64/53,218.24 = 15,751.92/x
  3. Step 3: Cross multiply
    35,478.64x = 53,218.24 × 15,751.92
  4. Step 4: Simplify right side
    35,478.64x = 838,289,459.02
  5. Step 5: Solve for x
    x = 838,289,459.02/35,478.64
  6. Step 6: Final answer
    x = 23,628.00

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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.