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Finding the Fourth Proportional to 46,745, 70,117.52 and 13,913

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Solution

The fourth proportional to 46,745, 70,117.52 and 13,913 is: 20,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,745 : 70,117.52 = 13,913 : x
  2. Step 2: Convert to fraction form
    46,745/70,117.52 = 13,913/x
  3. Step 3: Cross multiply
    46,745x = 70,117.52 × 13,913
  4. Step 4: Simplify right side
    46,745x = 975,545,055.76
  5. Step 5: Solve for x
    x = 975,545,055.76/46,745
  6. Step 6: Final answer
    x = 20,869.51

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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.