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Finding the Fourth Proportional to 59,565.78, 82,113.95 and 42,539.99

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Solution

The fourth proportional to 59,565.78, 82,113.95 and 42,539.99 is: 58,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,565.78 : 82,113.95 = 42,539.99 : x
  2. Step 2: Convert to fraction form
    59,565.78/82,113.95 = 42,539.99/x
  3. Step 3: Cross multiply
    59,565.78x = 82,113.95 × 42,539.99
  4. Step 4: Simplify right side
    59,565.78x = 3,493,126,307.64
  5. Step 5: Solve for x
    x = 3,493,126,307.64/59,565.78
  6. Step 6: Final answer
    x = 58,643.17

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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.