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Finding the Fourth Proportional to 78,501.60, 108,317.52 and 46,678.32

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Solution

The fourth proportional to 78,501.60, 108,317.52 and 46,678.32 is: 64,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,501.60 : 108,317.52 = 46,678.32 : x
  2. Step 2: Convert to fraction form
    78,501.60/108,317.52 = 46,678.32/x
  3. Step 3: Cross multiply
    78,501.60x = 108,317.52 × 46,678.32
  4. Step 4: Simplify right side
    78,501.60x = 5,056,079,860.17
  5. Step 5: Solve for x
    x = 5,056,079,860.17/78,501.60
  6. Step 6: Final answer
    x = 64,407.35

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1.5x scale

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.