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Finding the Fourth Proportional to 46,697.24, 70,056.93 and 13,416.50

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Solution

The fourth proportional to 46,697.24, 70,056.93 and 13,416.50 is: 20,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,697.24 : 70,056.93 = 13,416.50 : x
  2. Step 2: Convert to fraction form
    46,697.24/70,056.93 = 13,416.50/x
  3. Step 3: Cross multiply
    46,697.24x = 70,056.93 × 13,416.50
  4. Step 4: Simplify right side
    46,697.24x = 939,918,801.35
  5. Step 5: Solve for x
    x = 939,918,801.35/46,697.24
  6. Step 6: Final answer
    x = 20,127.93

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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.