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Finding the Fourth Proportional to 30,957.90, 46,413.45 and 15,386.46

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Solution

The fourth proportional to 30,957.90, 46,413.45 and 15,386.46 is: 23,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.90 : 46,413.45 = 15,386.46 : x
  2. Step 2: Convert to fraction form
    30,957.90/46,413.45 = 15,386.46/x
  3. Step 3: Cross multiply
    30,957.90x = 46,413.45 × 15,386.46
  4. Step 4: Simplify right side
    30,957.90x = 714,138,691.89
  5. Step 5: Solve for x
    x = 714,138,691.89/30,957.90
  6. Step 6: Final answer
    x = 23,068.06

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