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Finding the Fourth Proportional to 78,492.98, 108,321.10 and 44,501.60

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Solution

The fourth proportional to 78,492.98, 108,321.10 and 44,501.60 is: 61,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,492.98 : 108,321.10 = 44,501.60 : x
  2. Step 2: Convert to fraction form
    78,492.98/108,321.10 = 44,501.60/x
  3. Step 3: Cross multiply
    78,492.98x = 108,321.10 × 44,501.60
  4. Step 4: Simplify right side
    78,492.98x = 4,820,462,263.76
  5. Step 5: Solve for x
    x = 4,820,462,263.76/78,492.98
  6. Step 6: Final answer
    x = 61,412.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.