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Finding the Fourth Proportional to 98,920.94, 148,381.01 and 24,041.30

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Solution

The fourth proportional to 98,920.94, 148,381.01 and 24,041.30 is: 36,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,920.94 : 148,381.01 = 24,041.30 : x
  2. Step 2: Convert to fraction form
    98,920.94/148,381.01 = 24,041.30/x
  3. Step 3: Cross multiply
    98,920.94x = 148,381.01 × 24,041.30
  4. Step 4: Simplify right side
    98,920.94x = 3,567,272,806.77
  5. Step 5: Solve for x
    x = 3,567,272,806.77/98,920.94
  6. Step 6: Final answer
    x = 36,061.86

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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.