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Finding the Fourth Proportional to 98,038.98, 135,294.57 and 53,326.98

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Solution

The fourth proportional to 98,038.98, 135,294.57 and 53,326.98 is: 73,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,038.98 : 135,294.57 = 53,326.98 : x
  2. Step 2: Convert to fraction form
    98,038.98/135,294.57 = 53,326.98/x
  3. Step 3: Cross multiply
    98,038.98x = 135,294.57 × 53,326.98
  4. Step 4: Simplify right side
    98,038.98x = 7,214,850,828.50
  5. Step 5: Solve for x
    x = 7,214,850,828.50/98,038.98
  6. Step 6: Final answer
    x = 73,591.66

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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.