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Finding the Fourth Proportional to 65,159.82, 97,752.69 and 23,051.16

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Solution

The fourth proportional to 65,159.82, 97,752.69 and 23,051.16 is: 34,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,159.82 : 97,752.69 = 23,051.16 : x
  2. Step 2: Convert to fraction form
    65,159.82/97,752.69 = 23,051.16/x
  3. Step 3: Cross multiply
    65,159.82x = 97,752.69 × 23,051.16
  4. Step 4: Simplify right side
    65,159.82x = 2,253,312,897.62
  5. Step 5: Solve for x
    x = 2,253,312,897.62/65,159.82
  6. Step 6: Final answer
    x = 34,581.32

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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.