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Finding the Fourth Proportional to 65,256.40, 97,811.70 and 27,810.10

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Solution

The fourth proportional to 65,256.40, 97,811.70 and 27,810.10 is: 41,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,256.40 : 97,811.70 = 27,810.10 : x
  2. Step 2: Convert to fraction form
    65,256.40/97,811.70 = 27,810.10/x
  3. Step 3: Cross multiply
    65,256.40x = 97,811.70 × 27,810.10
  4. Step 4: Simplify right side
    65,256.40x = 2,720,153,158.17
  5. Step 5: Solve for x
    x = 2,720,153,158.17/65,256.40
  6. Step 6: Final answer
    x = 41,684.08

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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.