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Finding the Fourth Proportional to 65,967.66, 98,950.68 and 16,047.77

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Solution

The fourth proportional to 65,967.66, 98,950.68 and 16,047.77 is: 24,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,967.66 : 98,950.68 = 16,047.77 : x
  2. Step 2: Convert to fraction form
    65,967.66/98,950.68 = 16,047.77/x
  3. Step 3: Cross multiply
    65,967.66x = 98,950.68 × 16,047.77
  4. Step 4: Simplify right side
    65,967.66x = 1,587,937,259.23
  5. Step 5: Solve for x
    x = 1,587,937,259.23/65,967.66
  6. Step 6: Final answer
    x = 24,071.45

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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.