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Finding the Fourth Proportional to 65,036.95, 97,526.26 and 29,986.63

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Solution

The fourth proportional to 65,036.95, 97,526.26 and 29,986.63 is: 44,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,036.95 : 97,526.26 = 29,986.63 : x
  2. Step 2: Convert to fraction form
    65,036.95/97,526.26 = 29,986.63/x
  3. Step 3: Cross multiply
    65,036.95x = 97,526.26 × 29,986.63
  4. Step 4: Simplify right side
    65,036.95x = 2,924,483,873.90
  5. Step 5: Solve for x
    x = 2,924,483,873.90/65,036.95
  6. Step 6: Final answer
    x = 44,966.50

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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.