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Finding the Fourth Proportional to 35,783.52, 53,678.16 and 9,488.04

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Solution

The fourth proportional to 35,783.52, 53,678.16 and 9,488.04 is: 14,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.52 : 53,678.16 = 9,488.04 : x
  2. Step 2: Convert to fraction form
    35,783.52/53,678.16 = 9,488.04/x
  3. Step 3: Cross multiply
    35,783.52x = 53,678.16 × 9,488.04
  4. Step 4: Simplify right side
    35,783.52x = 509,300,529.21
  5. Step 5: Solve for x
    x = 509,300,529.21/35,783.52
  6. Step 6: Final answer
    x = 14,232.82

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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.