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Finding the Fourth Proportional to 76,509.60, 105,565.95 and 46,294.17

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Solution

The fourth proportional to 76,509.60, 105,565.95 and 46,294.17 is: 63,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.60 : 105,565.95 = 46,294.17 : x
  2. Step 2: Convert to fraction form
    76,509.60/105,565.95 = 46,294.17/x
  3. Step 3: Cross multiply
    76,509.60x = 105,565.95 × 46,294.17
  4. Step 4: Simplify right side
    76,509.60x = 4,887,088,035.51
  5. Step 5: Solve for x
    x = 4,887,088,035.51/76,509.60
  6. Step 6: Final answer
    x = 63,875.49

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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.