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Finding the Fourth Proportional to 51,686.84, 77,530.61 and 14,248.94

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Solution

The fourth proportional to 51,686.84, 77,530.61 and 14,248.94 is: 21,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,686.84 : 77,530.61 = 14,248.94 : x
  2. Step 2: Convert to fraction form
    51,686.84/77,530.61 = 14,248.94/x
  3. Step 3: Cross multiply
    51,686.84x = 77,530.61 × 14,248.94
  4. Step 4: Simplify right side
    51,686.84x = 1,104,728,658.02
  5. Step 5: Solve for x
    x = 1,104,728,658.02/51,686.84
  6. Step 6: Final answer
    x = 21,373.50

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Why These Related Problems?

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