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Finding the Fourth Proportional to 71,509.88, 98,701.76 and 48,858.02

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Solution

The fourth proportional to 71,509.88, 98,701.76 and 48,858.02 is: 67,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,509.88 : 98,701.76 = 48,858.02 : x
  2. Step 2: Convert to fraction form
    71,509.88/98,701.76 = 48,858.02/x
  3. Step 3: Cross multiply
    71,509.88x = 98,701.76 × 48,858.02
  4. Step 4: Simplify right side
    71,509.88x = 4,822,371,826.32
  5. Step 5: Solve for x
    x = 4,822,371,826.32/71,509.88
  6. Step 6: Final answer
    x = 67,436.45

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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.