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Finding the Fourth Proportional to 35,768.54, 53,655.84 and 9,472.91

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Solution

The fourth proportional to 35,768.54, 53,655.84 and 9,472.91 is: 14,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,768.54 : 53,655.84 = 9,472.91 : x
  2. Step 2: Convert to fraction form
    35,768.54/53,655.84 = 9,472.91/x
  3. Step 3: Cross multiply
    35,768.54x = 53,655.84 × 9,472.91
  4. Step 4: Simplify right side
    35,768.54x = 508,276,675.02
  5. Step 5: Solve for x
    x = 508,276,675.02/35,768.54
  6. Step 6: Final answer
    x = 14,210.16

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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.