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Finding the Fourth Proportional to 65,210.60, 97,859.10 and 37,130.60

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Solution

The fourth proportional to 65,210.60, 97,859.10 and 37,130.60 is: 55,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.60 : 97,859.10 = 37,130.60 : x
  2. Step 2: Convert to fraction form
    65,210.60/97,859.10 = 37,130.60/x
  3. Step 3: Cross multiply
    65,210.60x = 97,859.10 × 37,130.60
  4. Step 4: Simplify right side
    65,210.60x = 3,633,567,098.46
  5. Step 5: Solve for x
    x = 3,633,567,098.46/65,210.60
  6. Step 6: Final answer
    x = 55,720.50

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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.