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Finding the Fourth Proportional to 46,643.01, 64,316.54 and 31,509.39

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Solution

The fourth proportional to 46,643.01, 64,316.54 and 31,509.39 is: 43,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.01 : 64,316.54 = 31,509.39 : x
  2. Step 2: Convert to fraction form
    46,643.01/64,316.54 = 31,509.39/x
  3. Step 3: Cross multiply
    46,643.01x = 64,316.54 × 31,509.39
  4. Step 4: Simplify right side
    46,643.01x = 2,026,574,784.76
  5. Step 5: Solve for x
    x = 2,026,574,784.76/46,643.01
  6. Step 6: Final answer
    x = 43,448.63

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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.