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Finding the Fourth Proportional to 46,688, 64,407.20 and 31,585.92

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Solution

The fourth proportional to 46,688, 64,407.20 and 31,585.92 is: 43,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,688 : 64,407.20 = 31,585.92 : x
  2. Step 2: Convert to fraction form
    46,688/64,407.20 = 31,585.92/x
  3. Step 3: Cross multiply
    46,688x = 64,407.20 × 31,585.92
  4. Step 4: Simplify right side
    46,688x = 2,034,360,666.62
  5. Step 5: Solve for x
    x = 2,034,360,666.62/46,688
  6. Step 6: Final answer
    x = 43,573.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.