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Finding the Fourth Proportional to 97,623, 134,719.83 and 52,911

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Solution

The fourth proportional to 97,623, 134,719.83 and 52,911 is: 73,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,623 : 134,719.83 = 52,911 : x
  2. Step 2: Convert to fraction form
    97,623/134,719.83 = 52,911/x
  3. Step 3: Cross multiply
    97,623x = 134,719.83 × 52,911
  4. Step 4: Simplify right side
    97,623x = 7,128,160,925.13
  5. Step 5: Solve for x
    x = 7,128,160,925.13/97,623
  6. Step 6: Final answer
    x = 73,017.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.