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Finding the Fourth Proportional to 65,035.95, 97,524.77 and 29,985.63

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Solution

The fourth proportional to 65,035.95, 97,524.77 and 29,985.63 is: 44,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,035.95 : 97,524.77 = 29,985.63 : x
  2. Step 2: Convert to fraction form
    65,035.95/97,524.77 = 29,985.63/x
  3. Step 3: Cross multiply
    65,035.95x = 97,524.77 × 29,985.63
  4. Step 4: Simplify right side
    65,035.95x = 2,924,341,519.13
  5. Step 5: Solve for x
    x = 2,924,341,519.13/65,035.95
  6. Step 6: Final answer
    x = 44,965.00

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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.