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Finding the Fourth Proportional to 98,804.81, 148,225.95 and 39,645.15

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Solution

The fourth proportional to 98,804.81, 148,225.95 and 39,645.15 is: 59,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,804.81 : 148,225.95 = 39,645.15 : x
  2. Step 2: Convert to fraction form
    98,804.81/148,225.95 = 39,645.15/x
  3. Step 3: Cross multiply
    98,804.81x = 148,225.95 × 39,645.15
  4. Step 4: Simplify right side
    98,804.81x = 5,876,439,465.80
  5. Step 5: Solve for x
    x = 5,876,439,465.80/98,804.81
  6. Step 6: Final answer
    x = 59,475.24

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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.