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Finding the Fourth Proportional to 65,312.60, 97,823.10 and 53,648.60

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Solution

The fourth proportional to 65,312.60, 97,823.10 and 53,648.60 is: 80,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312.60 : 97,823.10 = 53,648.60 : x
  2. Step 2: Convert to fraction form
    65,312.60/97,823.10 = 53,648.60/x
  3. Step 3: Cross multiply
    65,312.60x = 97,823.10 × 53,648.60
  4. Step 4: Simplify right side
    65,312.60x = 5,248,072,362.66
  5. Step 5: Solve for x
    x = 5,248,072,362.66/65,312.60
  6. Step 6: Final answer
    x = 80,353.14

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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.