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Finding the Fourth Proportional to 97,447, 134,476.93 and 52,735

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Solution

The fourth proportional to 97,447, 134,476.93 and 52,735 is: 72,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,447 : 134,476.93 = 52,735 : x
  2. Step 2: Convert to fraction form
    97,447/134,476.93 = 52,735/x
  3. Step 3: Cross multiply
    97,447x = 134,476.93 × 52,735
  4. Step 4: Simplify right side
    97,447x = 7,091,640,771.71
  5. Step 5: Solve for x
    x = 7,091,640,771.71/97,447
  6. Step 6: Final answer
    x = 72,774.34

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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.