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Finding the Fourth Proportional to 101,926.76, 152,829.76 and 30,827.84

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Solution

The fourth proportional to 101,926.76, 152,829.76 and 30,827.84 is: 46,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,926.76 : 152,829.76 = 30,827.84 : x
  2. Step 2: Convert to fraction form
    101,926.76/152,829.76 = 30,827.84/x
  3. Step 3: Cross multiply
    101,926.76x = 152,829.76 × 30,827.84
  4. Step 4: Simplify right side
    101,926.76x = 4,711,411,551.47
  5. Step 5: Solve for x
    x = 4,711,411,551.47/101,926.76
  6. Step 6: Final answer
    x = 46,223.50

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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.