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Finding the Fourth Proportional to 97,566, 134,641.08 and 52,854

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Solution

The fourth proportional to 97,566, 134,641.08 and 52,854 is: 72,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,566 : 134,641.08 = 52,854 : x
  2. Step 2: Convert to fraction form
    97,566/134,641.08 = 52,854/x
  3. Step 3: Cross multiply
    97,566x = 134,641.08 × 52,854
  4. Step 4: Simplify right side
    97,566x = 7,116,319,642.32
  5. Step 5: Solve for x
    x = 7,116,319,642.32/97,566
  6. Step 6: Final answer
    x = 72,938.52

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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.