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Finding the Fourth Proportional to 97,442, 134,470.08 and 52,730

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Solution

The fourth proportional to 97,442, 134,470.08 and 52,730 is: 72,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,442 : 134,470.08 = 52,730 : x
  2. Step 2: Convert to fraction form
    97,442/134,470.08 = 52,730/x
  3. Step 3: Cross multiply
    97,442x = 134,470.08 × 52,730
  4. Step 4: Simplify right side
    97,442x = 7,090,607,318.40
  5. Step 5: Solve for x
    x = 7,090,607,318.40/97,442
  6. Step 6: Final answer
    x = 72,767.46

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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.