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Finding the Fourth Proportional to 97,488, 134,533.44 and 52,776

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Solution

The fourth proportional to 97,488, 134,533.44 and 52,776 is: 72,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,488 : 134,533.44 = 52,776 : x
  2. Step 2: Convert to fraction form
    97,488/134,533.44 = 52,776/x
  3. Step 3: Cross multiply
    97,488x = 134,533.44 × 52,776
  4. Step 4: Simplify right side
    97,488x = 7,100,136,829.44
  5. Step 5: Solve for x
    x = 7,100,136,829.44/97,488
  6. Step 6: Final answer
    x = 72,830.88

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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.