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Finding the Fourth Proportional to 48,646.60, 72,969.69 and 11,710.60

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Solution

The fourth proportional to 48,646.60, 72,969.69 and 11,710.60 is: 17,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,646.60 : 72,969.69 = 11,710.60 : x
  2. Step 2: Convert to fraction form
    48,646.60/72,969.69 = 11,710.60/x
  3. Step 3: Cross multiply
    48,646.60x = 72,969.69 × 11,710.60
  4. Step 4: Simplify right side
    48,646.60x = 854,518,851.71
  5. Step 5: Solve for x
    x = 854,518,851.71/48,646.60
  6. Step 6: Final answer
    x = 17,565.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.