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Finding the Fourth Proportional to 42,698.52, 64,051.02 and 11,533.50

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Solution

The fourth proportional to 42,698.52, 64,051.02 and 11,533.50 is: 17,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,698.52 : 64,051.02 = 11,533.50 : x
  2. Step 2: Convert to fraction form
    42,698.52/64,051.02 = 11,533.50/x
  3. Step 3: Cross multiply
    42,698.52x = 64,051.02 × 11,533.50
  4. Step 4: Simplify right side
    42,698.52x = 738,732,439.17
  5. Step 5: Solve for x
    x = 738,732,439.17/42,698.52
  6. Step 6: Final answer
    x = 17,301.13

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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.