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Finding the Fourth Proportional to 97,773.75, 134,927.82 and 53,061.75

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Solution

The fourth proportional to 97,773.75, 134,927.82 and 53,061.75 is: 73,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,773.75 : 134,927.82 = 53,061.75 : x
  2. Step 2: Convert to fraction form
    97,773.75/134,927.82 = 53,061.75/x
  3. Step 3: Cross multiply
    97,773.75x = 134,927.82 × 53,061.75
  4. Step 4: Simplify right side
    97,773.75x = 7,159,506,252.89
  5. Step 5: Solve for x
    x = 7,159,506,252.89/97,773.75
  6. Step 6: Final answer
    x = 73,225.24

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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.