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Finding the Fourth Proportional to 46,938.93, 70,407.74 and 11,400.50

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Solution

The fourth proportional to 46,938.93, 70,407.74 and 11,400.50 is: 17,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,938.93 : 70,407.74 = 11,400.50 : x
  2. Step 2: Convert to fraction form
    46,938.93/70,407.74 = 11,400.50/x
  3. Step 3: Cross multiply
    46,938.93x = 70,407.74 × 11,400.50
  4. Step 4: Simplify right side
    46,938.93x = 802,683,030.83
  5. Step 5: Solve for x
    x = 802,683,030.83/46,938.93
  6. Step 6: Final answer
    x = 17,100.58

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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.