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Finding the Fourth Proportional to 67,413.28, 101,070 and 32,319.52

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Solution

The fourth proportional to 67,413.28, 101,070 and 32,319.52 is: 48,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,413.28 : 101,070 = 32,319.52 : x
  2. Step 2: Convert to fraction form
    67,413.28/101,070 = 32,319.52/x
  3. Step 3: Cross multiply
    67,413.28x = 101,070 × 32,319.52
  4. Step 4: Simplify right side
    67,413.28x = 3,266,533,886.40
  5. Step 5: Solve for x
    x = 3,266,533,886.40/67,413.28
  6. Step 6: Final answer
    x = 48,455.35

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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.