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Finding the Fourth Proportional to 46,946.19, 70,418.63 and 11,407.77

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Solution

The fourth proportional to 46,946.19, 70,418.63 and 11,407.77 is: 17,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,946.19 : 70,418.63 = 11,407.77 : x
  2. Step 2: Convert to fraction form
    46,946.19/70,418.63 = 11,407.77/x
  3. Step 3: Cross multiply
    46,946.19x = 70,418.63 × 11,407.77
  4. Step 4: Simplify right side
    46,946.19x = 803,319,477.72
  5. Step 5: Solve for x
    x = 803,319,477.72/46,946.19
  6. Step 6: Final answer
    x = 17,111.49

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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.