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Finding the Fourth Proportional to 39,830.61, 59,745.91 and 16,457.65

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Solution

The fourth proportional to 39,830.61, 59,745.91 and 16,457.65 is: 24,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830.61 : 59,745.91 = 16,457.65 : x
  2. Step 2: Convert to fraction form
    39,830.61/59,745.91 = 16,457.65/x
  3. Step 3: Cross multiply
    39,830.61x = 59,745.91 × 16,457.65
  4. Step 4: Simplify right side
    39,830.61x = 983,277,275.71
  5. Step 5: Solve for x
    x = 983,277,275.71/39,830.61
  6. Step 6: Final answer
    x = 24,686.47

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