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Finding the Fourth Proportional to 78,746.58, 108,670.41 and 46,482.66

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Solution

The fourth proportional to 78,746.58, 108,670.41 and 46,482.66 is: 64,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,746.58 : 108,670.41 = 46,482.66 : x
  2. Step 2: Convert to fraction form
    78,746.58/108,670.41 = 46,482.66/x
  3. Step 3: Cross multiply
    78,746.58x = 108,670.41 × 46,482.66
  4. Step 4: Simplify right side
    78,746.58x = 5,051,289,720.09
  5. Step 5: Solve for x
    x = 5,051,289,720.09/78,746.58
  6. Step 6: Final answer
    x = 64,146.15

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Why These Related Problems?

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