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Finding the Fourth Proportional to 86,509.98, 129,702.69 and 53,161.16

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Solution

The fourth proportional to 86,509.98, 129,702.69 and 53,161.16 is: 79,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,509.98 : 129,702.69 = 53,161.16 : x
  2. Step 2: Convert to fraction form
    86,509.98/129,702.69 = 53,161.16/x
  3. Step 3: Cross multiply
    86,509.98x = 129,702.69 × 53,161.16
  4. Step 4: Simplify right side
    86,509.98x = 6,895,144,807.01
  5. Step 5: Solve for x
    x = 6,895,144,807.01/86,509.98
  6. Step 6: Final answer
    x = 79,703.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.