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Finding the Fourth Proportional to 98,237, 135,567.06 and 53,525

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Solution

The fourth proportional to 98,237, 135,567.06 and 53,525 is: 73,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,237 : 135,567.06 = 53,525 : x
  2. Step 2: Convert to fraction form
    98,237/135,567.06 = 53,525/x
  3. Step 3: Cross multiply
    98,237x = 135,567.06 × 53,525
  4. Step 4: Simplify right side
    98,237x = 7,256,226,886.50
  5. Step 5: Solve for x
    x = 7,256,226,886.50/98,237
  6. Step 6: Final answer
    x = 73,864.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.